94.01: Starting from rest, object 1 falls freely for 4.0 :jy/txn)7t i aag( o;vseconds, and object 2 falls freely for 8.0 seconds. C(i yt;jx:/v t an7gao)ompared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates tp f1 xvu,(dt3 t0zdzt(ki,t4io a final speed of 20.0 m/s in a time,ddv1i xf ,tk0tizzt4(up ( t3 of 15.0 s. How far does the car travel during this time?

  94.03: A ball is thrown off a high cliff with no horizontal velocity. It lan ,(s5ka )sr qe2 patcvu-97egwds 6.0 sup a59 -ewkrq,aet s2vcg()7 s later with a velocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerating vertically upwai6 3h7rg/cxy*b .vhfo ec2n/c(pf5bz rd cbo g//63p7h2*yif xcrzcbne5h.v f(at $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling body is found to be moving downwards aaf pda ,;+q kpif+s(7vt 27 m/s at one instant. If i sv, ; p+afi7+fpa(qdkt continues to fall, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and 2ryxg8e akfnr/ xx46) accelerates at $0.80\;m/s^2$ for 10 s. It then continues at constant velocity. Twenty seconds (20 s) after it began to move, the car has:

  96.17: A ball which is drn wavcr+ r4udp: z(i/7ss-5sj opped from the top of a building strikes the ground with a speed of 30u(ia7vz 5 4rj+ds- p:cw r/nss m/s. Assume air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain d 2c4 qbqkqn.u 7vo97ttime, an object in free fall has velocity 4.0 m/s in the upward direction. What is to bcqq9uvdtq .77n42khe approximate velocity of the object one second later?

  98.14: How long must 5 c*o.jqqle/h 3gh xy7a $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling object is found to be moving downward 1( x m0 decq4-caj+kfgat 18 m/s. If it continues to fall, two seconds latecm akjf(c xe4q d0-g1+r the object would be moving with a speed of

  17.02: A small object isdc020 o vmy+ wce05r-bam; pbd released from rest and falls freely for 4.00 s until reaching the gdyb0cc2 b r-;om ma+05dv0pewround. What was the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upwardgetq )bfg4 g* u78aow,; *8iddtivo4 n so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. When the ball reaches its maximum height, which one of the following choices best represents the magnitude of the net force an4tfo8,ogqbd) avi*8t* gw;i du4g 7 ecting on the ball?
D 10.0 N
E 12.0 N

  11.07: A ball of mass =0.100 kg is launched straight upward so thp +ifnii w*fmx:yp-4(at it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approxwnxiiffmi(p- 4 +yp :*imately how much time does it take the ball to reach the maximum height from its launch?

  98.31: An object sliding down an inclined plane has sfsbl4vcu6t4n2 bn 0j- peed 0.40 m/s two seconds after it begins to s46n-ulnc tv js2b4f0blide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower /r3 )yvh1 lmlpxh,ud.with a speed of 15 m/s. Coin II is dropped (zero initial speed) from the top of .hvm p/y3lr)u, dlx h1the tower 2.0 s later. Assume g is $10 \; m/s^2$. How far below the top of the tower does coin I pass coin II?

  02.04: If a ball is thrown directly upwk8-rza5 n wq.py(/q 4bbkngo ,m b0y)aards with twice the initial speed of another, kq-pny8 ow0r,b.mna gz 5k(bqa/y) b4how much higher will it be at its apex?

  02.30: A box falls to the ground from a delivery s pt7-ph.2vs3 y;p kwdi;h*axtruck traveling at 30 m/s. After hitting the road, it slides 45 meters to rest. Hk-a.*pd;x sh ;h yptivps23w 7ow long does it take the box to come to rest?

  03.29: An object is thrown upwards with a velocity of 30 m/s near the sxnw /(qxs iogn7a5: y-urface of the earth. After two seconds what would be the direction of the displacement, velocity and accele7g( s: a5nnwx-qo/iy xration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thro.,mn1qb; y sktwn vertically upward with different velocities (1v, 2v& 3v respectively). The diag.m ,qnty ;s1kbram indicates the mass and velocity of each stone. Rank from high to low the maximum height of each stone. Assume air resistance is negligible.

  10.25: Two point objects are launched straight upward with identiw9o+5rsdj 5i k8n*gp(gf my; ycal linear momentum. Object 1 has mass M and reaches a maximum heighyp8fsnywro g d ;(5gmi*k9 +5jt H above the launch point. If object 2 has mass 2M, what is its maximum attained height above the launch point in terms of H ?

  04.28: A rubber ball bounces on the ground as shown7f .xr, *4 osyscfx ur:lnnkk)3u mn(*. After each bounce, the ball reaches one-half the height of the bounce before it. If the time the ball was in the air between the first and seconf( nr *3 u)cskrx.4s7,x*o: nymlkfnud bounce was 1 second, what would be the time between the second and third bounce?

  16.21: At 1.94 s after launch, a projectile in free fall achieved its minimum 5;rrwfcv1r p. speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s i5vw.f 1r;r rpcnitial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. The collisi,+l)6oze s bhson of the pebble with the ground below is seebso h)l6,zs+en 1.50 seconds after the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguin oi3tw 9/wxm;hg about the height of a parking garage. One student suggested that to determine the height of the garage, they simply had to drop tennis balls from the top and time the fall of thwxtm; /9o3iw he tennis balls. If the time for the ball to fall was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along a straight line. Its initial po iyajm1w4::5vw :/yga3th ua ovji53isition is x0 = -5 meters and it is maj3y:1 t4o aww:h35 :yji ia /5mguvivoving away from the origin and slowing down. In this coordinate system, the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulloch 6( rmg0t0hed downwards by gravity (down the plane oc thgro6h 0(0mf the page) but is constrained to exactly follow each of the frictionless pathways shown. Rank these three paths from shortest to longest in terms of the amount of time (T) necessary for the object to be released from rest at point A and travel to point B. Assume that in changing direction that there is no loss of energy and that it takes negligible time.

  06.13: A rock is dropped from the top of a tall tower. Half a second later anoet*1 tsz *9 cisq9f;wfther rock, twice as massive as thqzitefs9s*fwc *9t1; e first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/9px8.l n /g/2gezhuxoh xgq(i 4h:oz, s along a track. The cart comes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is initiallyo:u9 x,o/hlx.i2x/g(8 4nzhzhpg eqg moving at 1 m/s. How far does the cart travel before coming to rest?

  07.11: A cart is initially moving at 0iew5 14bb.dxzr s2r. tgsj yqg5o,f +3,kg8aa .5 m/s along a track. The cart comes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is initially moving at 1 m/s. How fa3r x+ 55zqjsw2.a .b g, dig8sr1etfkay4g,o br does the cart travel before coming to rest?

  08.03: A dog starts from rest and runs in a s7p8ji/lrt2 o)5eg6mcwx rd2) ;a hv ultraight line with a constant acceleration of 2jaux228perlliw c) 7o /h );mvgtd65r$.5\;m/s^2$. How much time does it take for the dog to run a distance of $10\;m$?

  10.29: A ball initially at rest falls without air resistance from a height h ab- rf ;* j 3atpyqj2agc+xs wt15g,wx+jove the ground. If the ball falls the first distance 0.5h in a time t, how much time is required to fall the remaining distance of ,2 -+wf+qag;xj1tjw3rj5t p gca ys*x0.5h?

  10.38: Two objects both move and uniformly acctp.h7 (,fy -mwkg d8osgqv0o+elerate to the right. At time t=0,the objects are at the same initial position. Object 1 has initial speed twice that of Object 2; Object 1 has one-half the acceleration of Object 2.+t vo.sm d gf8kw7q0h(g,yp-o After some time T, the velocity of the two objects is the same. What is the ratio of the distance traveled in this time T by Object 2 to that traveled by Object 1?

  12.26: An object is thrown horizontalsbc-(fq 6fpc(pla656 xx e kwek+mp,2d efg3)ly with speed 10.0 m/s from a height H abovm3+sfep-6ce 5pe6a f)pk,2kcg bf6x(lw( dxqe the ground. The object reaches the ground with a speed of 20.0 m/s. Which one of the following choices best represents the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The obm ilfn/ 9y p(lt k(fk8sj9eb)8ject remains in free fall until (t9()y em/ fknbp8j9 li sf8klit returns to its initial launch point. Which one of the following graphs could represent the velocity of the object as a function of time during its flight?

  14.03: An object is dropped into freij.x32jv9w 5ejuw( todok *(ze fall. Through how many meters does the objev*o5w.i j2(ejxk (uozdwj9 t3 ct fall during the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50iem*e7l dgfor(xah6k 03 1)po4,1 ca ecw xiw0 m to rest across a flat surface in a time of 12.0 s. What was the initial speed of the bol1kx)w0(epoxf wa,o0ircmedec 4iah 3* 1 67g x when it started its slide?

  14.07: Starting from rest, a cart uniformlyr74) -zrri9s cakb/ ol accelerates to a speed of 7.60 m/s in a time azi o)94-c 7lsrk brr/of 3.00 s. Through what distance does the cart move in this time?

  14.16: A toy car initially moves to thefs),/ bfhbk wdc 1sd99pcsy)z) bc* p9 right at 60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s to the left. The total displacement of the car during this time is 10.0 cm to the left of where it started. Which one of the following choices best represents the magnitude of the average velocity of the car during the five second d9bd)s99cp fb/ b))*kzsfcc s1ph ,ywmotion?

  14.17: A toy car ini s3m mev1i;sf,5p.k 9xc)jzkgtially moves to the right at 60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s to the left. The total displacement of thezj3 5mig)m1ssc;xfp,.vk9k e car during this time is 10.0 cm to the left of where it started. Which one of the following choices best represents the magnitude of the average acceleration of the car during the five second motion?

  14.33: An object moves with constant ac85)iljg6jq i7tt ty k1f6yk)jceleration starting with velocity $v_0 = 5.00\;m/s$ and ending with a velocity of $v = -1.00\;m/s$ in a time of 3.00 s. For this motion, what is the average speed associated with the object?

  15.05: An object initially is moving upward while in free faij+ uk3tp;oy ( lrad;9ll. Which one of the following choices best represents the direction of the object’s acceleration dur l+i yjr;u3a(9kotp;ding its flight?

  13.26: An object moving only to the r)5jjq3,fsa0vg ppq( oight completes a 20.0 second trip in two stages, I and II. The average speed of the entire trip is 10.0 m/s. For stage I, the object moves with a constant velocity of 6.0 m/s for 12.(qsjg) f5ajp3opq0 , v0 seconds. What constant acceleration must the object have during the 8.0 seconds of stage II?

  15.32: An object moving along lgbc:fa)h*6r s)n/u q tuo3hr75w o.pa line completes a 20.0 second trip with an average speed of 10.0 m/s in two stages. During stage 1, the object moves with a constant velocity of 6.0 m/s to the right for 12.0 seconds. What constant magnitude acceleration directed to the left must the object have dur ruwn)c upaqg*/ h)ofr ob5l6 th:.s73ing the 8.0 seconds of stage 2?

  13.33: At the top of a high cliff, a small rock is dropy av1fpyn;a12,;d/go yo7c qcped from rest. A ball is launched straight downward with an initial speed of 36 m/s at a time 2.10 s after the rock was dropped. When the ball has fallen 28.0 m further than the initially dropped rock, what is the speed of the ball relatiy/cf,nd;y a;7qy1o 1vpc2gaove to the rock?

  16.36: On a straight roanio8b *hyk1.qd, a self-driving car races with a robot. The robot accelei k y8hq.1on*brates at $8.50\;m/s^2$ until reaching its maximum constant speed of 15.0 m/s. The car accelerates at $5.60\;m/s^2$ until reaching its maximum constant speed of 25.0 m/s. The car and robot start from rest from the same location. What is the maximum distance that the robot leads the car during the race?

  17.44: A ball is launched vertically upward. The ver 1mz/f s4xfuh y)sj5e(j3)b intical position of the ball 0.70 s after release is the same as its vertical /5n 3(x1jbyjfs m4)u izh)sfe position 4.10 s after its release. At what time is the object first at a vertical position that is one-half of the maximum height it obtains during its flight?