Suppose that an object travels from one point in space to another. Mhtkhgs9 )ot d;.p42seake a comparison betwst2t94e. o;sgh hpdk)een the displacement and the distance traveled.

  When is the average velocity of an object equal to the instanxw 47 ykm h*v6oa-ed*otaneous velocity?

  A new car manufacturer advertises that their car can go "from zel*q l); f 3z:ann5dwcvro to sixty in 8 s". This is a descriptf3c 5azn)qn vwdl*:;l ion of

  An object moving in the +x afmea1 va(xj):ci9mi(xis experiences an acceleration of $2.0 \; m/s^2$. This means the object is

  Suppose that a car traveling to the East (+x direc9f t4ilwu: wj)tion) begins to slow down as it a4if uw j9t):wlpproaches a traffic light. Make a statement concerning its acceleration.

  Suppose that a car travei9vx8;9o ,4 c abajedwling to the West (-x direction) begins to slow down as it approaches a traffi wab ,4j 9ei9x8cao;dvc light. Make a statement concerning its acceleration.

  Suppose that an object i:husej 3* x9lhs moving with a constant velocity. Make a statement concerning its accelerelx3h9*: ush jation.

  If the velocity of an object is zero, does it mean thatj7;9h yq n*t*x 8ag/ 5xoe4xn zl*g6heq 0vrao the acceleration is zero? Support your an50ehlx9z /o xx7qeny rg* ;v6 hj8qago*atn4*swer with an example.

  Can an object's velocity change directiyg 5o.;np ef)jon when its acceleration is constant? Support your e)y.;ngjp5f oanswer with an example.

  Suppose that an object is moving with constant a* sqta(t/)ukk ahx3ufd kl22.cceleration. Make a statement concerning its motion with respect tos2 h2/la3.a tkkx k(*)uudqtf time.

  Can an object have increasing speed while its acceleration is decreasinl x4;rd 7:zi xohsn)/lg? Suppo:sho/lriz) 47 ;dlxx nrt your answer with an example.

  Suppose a can, after an initial kick, moves up along j 7 x,2a2o xhpc89mg:slleot )3f8gm va smooth hill of ice. Make a s):xlfmompxc8v9 827jg2lah3te, go s tatement concerning its acceleration.

  Under what condition is average velocity equal to the avhxzzyg 12mz2 echiz3xe2+: 7ierage of the object's initial and zm22xyz h3ci 1xhz e7z+2 i:egfinal velocity?

  Objects A and B both start at rest. Theyzzkm9p *k83 mf both accelerate at the same rate. However, object A accelerates for twice the time as object B.8mzkm*f 9kpz3 What is the final speed of object A compared to that of object B?

  Objects A and B both start from rest. They both accelerate at the s4 h14oaep6 miye d1k/bame rate. He p/o ykb4m1deah461 iowever, object A accelerates for twice the time as object B. What is the distance traveled by object A compared to that of object B?

  When an object is releasep7nh ut- d )g*+yqh7z-v2-xie; ozvyq d from rest and falls in the absence of friction, which of o -7z;v-2nhxq *y+yq)hviz-p gteu7 dthe following is true concerning its motion?

  When an object is released from rest and falls in the absence of frictio4 swfing2 ; 22eudqs6mn, which of the following is true concerning its motionis62;dsqmwu f422g ne?

  Suppose a ball is thrown straight uyy874l ff z. 2j(9v 5dzjjvmg9 -ispnup. Make a statement about the velocity and the acceleration .n-7szvf (zyj9u5j jlf9i4dmyv2g8 pwhen the ball reaches the highest point.

  Suppose a ball is thrown straight uzyxp 5tw 43a9pp. What is its acceleration just before it reaches its highest point?pwp z9yx35 4at

  Suppose a ball is thrown straight up, reaches a maximum height, then falls to)/- xm+hnmj ev its initial height. Make a statement about the direction of the velocity and acceleration as the baxe/ -m h+j)nvmll is going up.

  A ball is thrown straight up, reachreqxfaxb4 r y:1/ j4wxf8 ,nf5es a maximum height, then falls to its initial height. Make a statement about the direction of the veloc/x ff:4q8wrn jf,xbxy1e45a rity and acceleration as the ball is coming down.

  Suppose a ball is thrown downward in the absence of air resistance. Make a p0p9o4t* 7xni rl l,ljsyu;(a statement concerning itu4a l7(ojprlp ,xi0;*tsl y9ns acceleration.

  Suppose a skydiver jumu 9izw37c/yw t8cc;ty ps from a high-flying plane. What is her acceleration when she she reaches terminal velocity?t9;zicyuw7y/ wt3 c8c

  A ball is thrown vertically upward with a speed v. ka3o;(.+h xknl bcoo9An identical second ball is thrown upward with a speed 2v (twice as fast). What k h;b3cxa9 (+koo.nlo is the ratio of the maximum height of the second ball to that of the first ball? (How many times higher does the second ball go than the first ball?)

  Ball A is dropped from the top of a buildizk7rc z/jss.4 ng. One second later, ball B is dropped from the same building. As time progresses, the distance rc.7jzzk/s4s between them

  Ball A is dropped from the top of a building. One p:(o: thl,pk ksecond later, ball B is dropped from thek:h tp,(kpl :o same building. As time progresses, the difference in their speeds

  Two objects are thrown from the top of a tall building. One 3mns8p 1-b)g7crlnfifrq+ q3 is thrown up, and the other is thrown down, both with the same initial speed. What are their speeds when ther37rc1+g-3nis f8flmqpnbq )y hit the street?

  A brick is dropped from the top of a building. A second brn 0x6w8fcv w4vick is thrown straight down from the cf8w0vwn 64vxsame building. They are released at the same time. Neglect air resistance. Compare the accelerations of the two bricks.

  An object is moving with constant n- (0ve+kblg7 uifv*d/1cau gj; w3eu non-zero velocity in the +x axis. The position versus time graph of this o /(iau u1gv0fe*vku- ;3+gnjlwbcd7e bject is

  An object is moving with constant non-zero acceleration in the +x axis. The pood+ (7pv.wevbsition versus time graph of this o evpd7.w v+(obbject is

  An object is moving with constant non-zero velocity in the +x axi ji tdj34 snmjd.n7/ q9g7bkdh/9yo9as. The velocity versj3sn9. 9 4hti qn/7kdgyjd d79mao/ jbus time graph of this object is

  An object is moving 64dlzpt:pcn0 with constant non-zero acceleration in the +x axis. The veloci t4pdp0ncz:6 lty versus time graph of this object is

  The slope of a positi29mp13o18xr1fk*hle sfwpb son versus time graph gives

  The slope of a velocity versus time graph give- ply-qryz7 (ls

  The area under a curve iyb nq v+zcc ri3,9pn 9z,87dhrn an acceleration versus time graph gives

  The area under a curve in a velocity versus time grasl6o) 7e re4jhph gives

  If the position versus time graph of a wb.znorlw -1wcres/)z6e:q5n object is a horizontal line, the object isnw/b )eqwwres lr.1:-6 zczo5

  If the position vers0ygzszpk4x/ t.s; r:dus time graph of an object is a vertical line, the object is:sd/.x0 g sk4zyrtp;z

  If the velocity versus time graph of an object is a horizontal lineqm4t shi jww5pba//(*4:l nfy, the object is bm a4/pi*q(:jy ftwsh/wnl45

  If the velocity versus time graph of an object jsdx) f.092te pr)ox fis a straight line making an angle of 30 degrees wirdpf9x).2otf s e 0x)jth the time axis, the object is

  An object moves 15.0 m northp*i;m9 l7hfg y and then 11.0 m south. Find both the distance traveled and the magnitude of the displacemenh *mylp9;f7gi t vector.

  A boat can move at 30 km/h in still water. How long will it take to m,m6 , gnaverp6c.: hdpove 12 km upstream i,rn,6 : p hdc6pg.emavn a river flowing 6.0 km/h?

  55 mi/h is how many m/s?y mmnjr w m21k4bj872t (1 mi = 1609 m)

  What must be your average speed in uoe jix(h 63o8order to travel 350 km in 5.15 h?

  A runner ran the marathon (approximately 42.0 km) in 2 hours and 57 min.hyis afjy7s/ (dsy( f;g+4 1qn What is thehnfiys(f +ds yq/7a g4 s1(jy; average speed of the runner in m/s?

  A car travels 90 km/h. How long does it take xl-5w,nqim5a for it to travel 400 km?

  A ly (light year) is the distance that light travels i i y,8xssk(8b h2s;ea: oj/h 1oozdn6hn one year. The speed of light onhb hj,s88os/s2 (kh:zyax;i1oe d6is $3.00 \times 10^8 \; m/s$. How many miles are there in a light year? (1 mi = 1609 m, 1 yr = 365 d.)

  If you are driving 72 km/h eq*8h+b lae8 wvyvj ;w3gfu 3.along a straight road and you look to the side for 4.0 s, how far do you travel during this inattentive jl w8ew ; yf+u8g.ae3 qv3h*bvperiod?

  If you run a complete loop around an outdoor track (400 m), in 100 s, youmj p, 2n3y gu0iay(+ot8gz5mir average velocity ,otmagyiu +0i 2 gyp(njm85z3 is

  A polar bear starts at the North Pole. It travels 1.0 km southvpbg6( wl+m t:rceh+ 4, then 1.0 km east, then 1.0 km north, then 1.0 km west to return tot+lcv 6w +4rm:h(gbp e its starting point. This trip takes 45 min. What was the bear's average speed?

  A polar bear starts at the North Pole. It travel96, jr4plsgis22hu1*i xikeb x m58pns 1.0 km south, then 1.0 km east, then 1.0 km north, then 1.0 km west to return to its starting point. This trip takes 45628ek gbh1miips *i2nrlx94,p j5 sux min. What was the bear's average velocity?

  You are driving homegkkv v6r. 0ceu+9t r7t on a weekend from school at 55 mi/h for 110 miles. It then starts to snow and you slow to 35 mi/h. You arrive home after driving 4 hours and 15 minut+ugt r0ve9k v7crtk6 .es. How far is your hometown from school?

  A motorist travels 160 km at 80 km/h and 160 km a43xa uj 1mmpzd3a4o c+t 100 km/h. What is the average speed of the motorist for this tri33x opm4zc+ d1j4um aap?

  A motorist travels for 3.0 h at 80 km/h and 2.0 h at 100 km/h. What is her g;eyq;l(d m 7zaveragey; l q(dm7g;ze speed for the trip?

  An airplane travels at 300 mi/h south for 2.00 h and then at 250 mi/h norte h;rgf98 e*iemqlrox50nn7+ h for 750 miles. What is the average s oher7+l*g mx;n5e8qenr0 9 fipeed for the trip?

  In a 400-m relay rac:nt((lxa ysi-mlq)4b e the anchorman (the person who runs the last 100 m) for team A can run 100 m in 9.8 s. His rival, the anchorman for team B, can cover 100 m in 10.1 s. What is the largta)s 4qiyb (nlx(-l:mest lead the team B runner can have when the team A runner starts the final leg of the race, in order that the team A runner not lose the race?

  A car decelerates uniformly and comes to a stop after n+a .xpv-p6apx1j) ; qd e.jsa9 s. The car's average velocity during deceleration was 65 km/h. What was the car's deceleration while slowie j.+q6ppx d1psa-) vjx.aan ;ng down?

  An airplane increases its speed frd99a sd:kiu4 rom 100 m/s to 160 m/s, at the average rate of id 9:4krd9usa$15 \; m/s^2$. How much time does it take for the complete increase in speed?

  A car traveling 60 km/h abdb. v;fcc(5n r l.2bsccelerates at the rate of $2.0 \; m/s^2$. How much time is required for the car to reach a speed of 90 km/h?

  A cart starts from r: 6z :hovxp0gr8s0xd dest and accelerates at $4.0 \; m/s^2$ for 5.0 s, then maintain that velocity for 10 s, and then decelerates at the rate of $2.0 \; m/s^2$ for 4.0 s. What is the final speed of the car?

  A car travels at 15 m/s for 10 s. It then speedsdfgx)i f4j pc- gaya;5c(i(oh0lgy/ ( up with a constant acceleration f(ayhga()c oc/gil 0p4 y i;-(df5jxg of $2.0 \; m/s^2$ for 15 s. At the end of this time, what is its velocity?

  A cart with an initial velocs(w/ng y6te e;rw6h 1kity of 5.8 m/s experiences a constant acceleration of swwn( gye1 /66k ;reth$3.5 \; m/s^2$. What is the cart's displacement during the first 7.3 s of its motion?

  A bullet moving horizonvi 9c( bpfhe lzy60t7:tally to the right (+x direction) with a speed of 247 m/s strikp(cyi6be 9fzv0 h 7:ltes a sandbag and penetrates a distance of 96.90 cm. What is the average acceleration, in $m/s^2$, of the bullet?

  A jet fighter plane is launched from a catapult on an aircraft carrier. 5ip6q1eh c)c rf-x1rh It reaches a spe h -fre516rh)qcpx 1iced of 42 m/s at the end of the catapult, and this requires 2.0 s. Assuming the acceleration is constant, what is the length of the catapult?

  A car starting from rest moves with consfwypy-)f.4 vc10g2 u yu,,4 zdb7nateff6ndbtant acceleration of $2.0 \; m/s^2$ for 10 s, then travels with constant speed for another 10 s, and then finally slows to a stop with constant acceleration of
-$2.0 \; m/s^2$. How far does it travel?

  A car goes from 40 m/s to 80 m/scgcq( niug*5:- vo)ix in a distance of 200 m. What is its average acceugi:*o-x( g5n cqv ci)leration?

  An object starts from rest and ungqqim y763 gh jn5/p:fdergoes uniform acceleration. During the first second it travels 4.6 m. How far will it travel during the third q:6nmj7/5 p3f h ggyqisecond?

  An object is moving in a straight 8 kv6:kw.zbfr5 j;;*qtz yfikh hq;m+line with constant acceleration. Initially it is traveling at 16 m/s. Three seconds l brjtq;z:qzyif+h6 kwfmh. ;5k; *kv8ater it is traveling at 10 m/s. How far does it move during this time?

  A car starts from rest and accelerates uf9: g glq-9pz( afji6nniformly at $3.0 \; m/s^2$. A second car starts from rest 6.0 s later at the same point and accelerates uniformly at $5.0 \; m/s^2$. How long does it take the second car to overtake the first car?

  A car with good tires on a d8 xytf.+vc6u xry road can decelerate at about $5.0 \; m/s^2$ when braking. Suppose a car is initially traveling at 55 mi/h.
(a.) How much time does it take the car to stop?    $s$ (only input numerical values)
(b.) What is the stopping distance?    $m$ ((only input numerical values)

  At the instant a traffic light turns green, a car that has 60 ;sx u4hkn)b,lart tbeen waiting at the intersection starts ahea xn ;l ub)60kt,at4hrsd with a constant acceleration of $2.00 \; m/s^2$. At that moment a truck traveling with a constant velocity of 15.0 m/s overtakes and passes the car.
(a.) Calculate the time necessary for the car to reach the truck.    $s$ (only fill in numerical values)
(b.) Calculate the distance beyond the traffic light that the car will pass the truck.    $m$ (only fill in numerical values)
(c.) Determine the speed of the car when it passes the truck.    $m/s$ (only fill in numerical values)

  An object is thrown upward wi,u h:y:hsj.3ljt; nknth a speed of 12 m/s on the surface of planet X where the acceleration due to gravityhj;sykt:,h u:j n. ln3 is $1.5 \; m/s^2$. What is the maximum height reached by the object?

  An object is thrown upward with a speed of 12 m/s on the surface of rbps x8 /*fks1rq5d0zplanet X where the acceleration due1 8ss* pz0/qxrd5 brkf to gravity is $1.5 \; m/s^2$. How long does it take for the object to reach the maximum height?

  An object is thrown upward with a speed of 15 m/s on the surface of pt3,x3x 8v d v2*seqxwylanet X where thex wx3evds3*t2q ,8x vy acceleration due to gravity is $2.5 \; m/s^2$. How long does it take for the object to return to where it is thrown?

  An object is thrown upward with a speed of 14 m/s on the smt e+*l)3of/ /dygekqw l ;5aaurface of planet X where +toaw /f q*edg a53k);mlly/ethe acceleration due to gravity is $3.5 \; m/s^2$. What is the speed of the object after 8.0 s?

  Human reaction time is ufx/8m b7g.fcr ) pto3qsually greater than 0.10 s. If your friend holds a ruler between your fingers 8x3 tb)fcf /g7oprq .mand releases it without warning, how far can you expect the ruler to fall before you catch it?

  A ball is thrown upward at a velocity of 19.6 m/s. What is its vel(5esc+t .t8cql)z2ywid kib8ocity after 3kde+.q)l 8w ist8by2cc5it(z .00 s?

  A bullet shot straight up returns to its starting point in 4 s. What is the6 ss8wa9 lq0c(hl fl+2jx+ zfj initial spe+9 sxq6(l+j h fljc8 2sl0wzafed of the bullet?

  A ball is thrown straight up with a speed of 36.0 -ld4tp z jq73 uor)w6hm/s. How long does it take to return to its st -oul)74r6phj qtz3w darting point?

  A ball is thrown downward from the top of a building with an initial sa5 i.ph4h yw8gpeed of 13 m/s. It strikes the ground after8yp aih5.4gwh 2.4 s. How high is the building?

  A ball is thrown straight up with a speed of 30.hlwd e1 t9cg3iocu+ 5 m/s. (only fill in numerical value in the blanks)c9cid5h e t gl3o1+u.w
(a.) How long does it take the ball to reach the maximum height?    $s$
(b.) What is the maximum height reached by the ball?    $m$
(c.) What is its speed after 4.2 s?    $m/s$

  A foul ball is hit straight up into /effy7l 6f6rwc c1/,m6 ou ymvfjs/-i the air with a speed of 45.3 m/s. (use $g=10 \; m/s^2$, only fill in numerical value in the blank)
(a.) Calculate the time required for the ball to rise to its maximum height.  (数值)  $s$
(b.) Calculate the time for the ball to fall back to the height at which it was hit.  (数值)  $s$
(c.) Calculate the maximum height reached by the ball.  (数值)  $m$
(d.) Calculate the ball's speed 1 seconds later.  (数值)  $m/s$
(e.) Determine the time at which the ball pass a point 7 m above the point of contact between the bat and ball for the first time.  (数值)  $s$
(f.) Determine the time at which the ball pass a point 7.0 m above the point of contact a second time.  (数值)  $s$

  In Fig. below, what is the velocity at t = 1.0 s?hgy08k-xnu w 6

  In Fig. below, what is the velocity abtnfr82rj(la5fl:1 w;k s ne)u zp(3 yt t = 2.5 s?

  In Fig. below, what is the velocity at t = 4.0+mk )wi9k+;f;a mw lty s?

  In Fig. below, what is the velocity at t z ws--n0lr xqu)cf2i6= 5.5 s?

  In Fig. below, what i f,oe ti s3 54eym9xfs9tvt64ks the average velocity from 0 to 4.0 s?

  In Fig. below, what is the average /na kg;7l0 tvar-n*r pvelocity from 0 to 6.0 s?

  In Fig. below, what isw3+wwfm9b8e; tbp yp 58f6rre the acceleration at 1.0 s?

  In Fig. below, what is the accelerat8 *tw.6r /ybg+htmc94rkq ic2 /eskqw ion at 3.0 s?

  In Fig. below, what is the average accelerazjq //2v(dc a fwpt9n,tion from 0 to 5.0 s?

  In Fig. below, what is the average a5v xfyrrz, un9f4.7mxcceleration from 0 to 8.0 s?

  In Fig. below, what is the displacement from 0 to 8.0 sg -dolzuc2qg2;gzn*b/) pb5l;myb 1 m?

Does a car speedometer measure speed, velocity5,mvwy6x:vrksk:ow*c9g 1x o ? {speed|velocity}

  An object can have a varying speed if its velocity is con tqi2z, wl6pfgn /4 x7szdq86ystant.

  The velocity of an object c.i-k dj5f -hm-x/jxwpan be negative when its acceleration is positive.

  If one object has a greater speed than a second z c9 iq 7(s5+z(cwwieeuuo/v)object, the first must have a greater acceleratee +(ocq/zw)v5( izusc7w i9u ion.

  Two cars emerge side by side from a tunnel. Car A is traveling vxlszo2rphv-vo t z89sx9q ;f5a: +7cwith a speed of $60 \; km/h$ and has an acceleration of $40 \; km/h/min$ Car B has a speed of $40 \; km/h$ and has an acceleration of $60 \; km/h/min$ . Can A will pass car B at the instant they come out of the tunnel.

  An object can be increasing in speed as its ac +d7zzf0m-h mhceleration decreases.

  A baseball player hits a foul ball straight up into the air. It leaves tn;bq9 g7o2ltteizzl7 +gj*6e he bat with a +t l ezigegz6q2 ob7 9*;l7jtnspeed of $120 \; km/h$. In the absence of air resistance, how fast will the ball be traveling when the catcher catches it?    $km/h$ (please only fill in numerical value in the blank)

  As a freely falling object speeds up, what is he9*k yicopat0i ,/oe: appening to its acceleration, how does :c/9i e*0ky,po ia teoit change if air friction is ignored?

  As a freely falling object speeds up, whape()c. tso j :l-xf1xqt is happening to its acceleration, how does it change if air friction CAN NOT be ignored?foc1)p(qx: t.lxes j-

  An object that is thrown vertically upward will return to its or24nig sirwdm 1q2c., bkvk; 1diginal position with the same speed as it had initially if air resistance is negligible. gik nr1s2vd qi 2bw ,14kd.;cmIf air resistance is appreciable, how will this result be altered?

  An object can have zero vel )l78vomy4ftmocity and nonzero acceleration at the same time.

  An object can have nonzero veloci23jxepbb;q g-zr8g:c:xp n o9ty and zero acceleration at the same time.

  An elevator moving from the second floor to the fifth floor making no8hodq5m ku el 6)b9xk7 stops along tm kk7h )5boudqe968xlhe way has zero acceleration all the time.

  A rolling ball moves from --q*gk 6fvvk vf;fg- m$x_1=1.7 \mathrm{~cm}$ to $x_2=-5.9 \mathrm{~cm}$ during the time from $t_1=1.1 \mathrm{~s}$ to $t_2=5.2 \mathrm{~s}$. What is its average velocity?  (数值)  $cm/s$ (only fill in numerical value please)

  A particle at $t_1=-3.7 \mathrm{~s}$ is at $x_1=2.3 \mathrm{~cm}$ and at $t_2=3.0 \mathrm{~s}$ is at $x_2=8.0 \mathrm{~cm}$. What is its average velocity?  (数值)  $cm/s$

  A person jogs eight complete laps arounypvi;r 0ndf *;0ipg)).wda amd a quarter-mile ($1 \; mile = 1609 \; m$) track in a total time of 6.8 min. Calculate (a) the average speed  (数值)  $m/s$ and (b) the average velocity    $m/s$

  A horse canters away from its trainer in a straight line, moving 95 m away in 9.v2;dz ;mcq:gu u-4be(k8pr yk2 s. It then turns abruptly and gallops halfway back in 4.6 s. Calculate (a) its 2;pr-vu k gqd(k;bc:4euymz8 average speed  (数值)  $m/s$ and (b) its average velocity  (数值)  $m/s$ for the entire trip, using “away from the trainer” as the positive direction.

  A car accelerates from ddiqt,6 g0;o mx66x opdd,bhfv 2ea45 $11 \; m/s$ to $23 \; m/s$ in 5.2 s. What was its acceleration?  (数值)  $m/s^2$ How far did it travel in this time?  (数值)  $m$ Assume constant acceleration.

  A car slows down frohx be +8(v +bhzo)t9sqm $17 \; m/s$ to rest in a distance of 79 m. What was its acceleration, assumed constant?  (数值)  $m/s^2$

  A light plane must reach a8 rc8r(dn34tf ncjspr16 ji p mq1)ld+ speed of $32 \; m/s$ for takeoff. How long a runway is needed if the (constant) acceleration is $3.0 \; m/s^2$ ?  (数值)  $m$

  A world-class sprinter can burst out of thks4i h96cq,o /sok7zk e blocks to essentially top speed abou kz q,s/ickosh 69ko74t $10.5 \; m/s$ in the first 11.9 m of the race. What is the average acceleration of this sprinter?  (数值)  $m/s^2$ and how long does it take her to reach that speed?  (数值)  $s$

  A car slows down uniformly from a speed ofvjbm ;8;9mtic jpj e*1fv,few2 y ul2. $18 \; m/s$ to rest in 4.53 s. How far did it travel in that time?  (数值)  $m$

  In coming to a stop, a car leaves skid marks 92 m long on the highway. As-1ge*v,c srd)yu yy, msuming a decdy ur)ce-v,1s, g* yymeleration of $7.00 \; m/s^2$, estimate the speed of the car just before braking.    $m/s$

  A car is behind a truck gox 9:it7+ gdk/r 9m/eqjsxjyc0ing $25 \; m/s$ on the highway. The car’s driver looks for an opportunity to pass, guessing that his car can accelerate at $1.0 \; m/s^2$. He gauges that he has to cover the 20-m length of the truck, plus 10 m clear room at the rear of the truck and 10 m more at the front of it. In the oncoming lane, he sees a car approaching, probably also traveling at $25 \; m/s$. What is the closest distance of the approaching car that he can still sately make the attempt to pass the truck? (without hitting the approaching car).    $m$