94.01: Starting from rest, object 1 falls freely for 4.0 secon ab0emynca )95adi+;nds, and object 2 falls freely for 8.0 seconds. Comparedi b;na5 m9c)a0de nay+ to object 1, object 2 falls:

  94.02: A car starts from rest( 2bg(jg.-ev utioka4 f*wec7wz/z,n and uniformly accelerates to a final speed of 20.0 m/s in a c(v-/,e.b4 g*w(z i wofz ak2ju7gtnetime of 15.0 s. How far does the car travel during this time?

  94.03: A ball is thrown off a ho9949 8nzlf/l lkez jdigh cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial velocity of n eko84l /9 dlf99jlzzthe ball?

  95.27: A rocket near the surface of the earth iscoxyfl0k8wl+y8.qpy2l: sf ( accelerating vertically upward as p8fqcxk( 2loy 0y.w 8+l:flyt $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling bod xev 7m ijcwl/cw9;y7+y is found to be moving downwards at 27 m/s at one instant. If it continues to ; + cl9wie7xj/wvcym7fall, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and accr:r 9n u1kpa-n2ej8ppst.i hnnl334oelerates 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 elfvo e106twki .p+j: is dropped from the top of a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored.l e ej.61+0:fviow ktp The height of the building is approximately:

  97.09: At a certain time, an object in free fall 2 hayl 4i jr,j5zm;3x,lmo;k; 8 tgtqrhas velocity 4.0 m/s in the upward direct tl ;k4zqg jhr3,m;xo2m;t 85jla,r yiion. What is the approximate velocity of the object one second later?

  98.14: How long must a 2:a:vux* uqvf$2.5\;m/s^2$ 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 atd8rp8,(pm qos 18 m/s. If it continues to fall, two seconds later the object would be moving with qo, pd(s8 mrp8a speed of

  17.02: A small object is released from rest and falls freely for 4. ioviy;on 37 c:-(5necsp-m lj00 s until reaching the ground. Wha-5- co jsec p(vliy7o;inm: n3t was the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upwa(snn2zuf*u quifpz/.7c g l,9 rd 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 heil(nfpu*29nfzus cq g/uiz 7,.ght, which one of the following choices best represents the magnitude of the net force acting on the ball?
D 10.0 N
E 12.0 N

  11.07: A ball of mass =0.100 kg is launchn; ;s.w4 zvylned straight upward so that it rises to a ma4z;lw. ys;nvnximum height of 12.0 m above the launch point. Ignore air resistance. Approximately how much time does it take the ball to reach the maximum height from its launch?

  98.31: An object sliding d +sh direndn5ox74i;x02 nrcy2izw82own an inclined plane has speed 0.40 m/s two seconds aftwn2dy+oxec5 n 08rx2in h sz2d r4;ii7er it begins to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower with a speedx pupljo t ;2511j6oin of 15 m/s. Coin II is dropped (zero initial speed) from the top of the toweujnx 5 iot6;l2ppo1j1r 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 upwards with twice the initial gtbljbbca1 5 x(sa-*7speed of another, how much higher watgba(s *blb-5 xc7 j1ill it be at its apex?

  02.30: A box falls to tn;+ t *scuptd(he ground from a delivery truck traveling at 30 m/s. After hittingsu(tt pc*d;n + the road, it slides 45 meters to rest. How long does it take the box to come to rest?

  03.29: An object is thrown u6mkpgn(spgs0) t /u3 s3cfpn 5pwards with a velocity of 30 m/s near the surface of the earth. After two seconds what would be the directpguc 36p 0 pssn3k)(sn/ gmt5fion of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown vertically upwarcl, .b0 a 9jl;ajol-lhd with different velocities (1v, 2v& 3v respectivel0haajl ,;c .blj-9olly). The diagram 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 identical line u,9o-e38:e ay moyyekmyd-. oar momentum. Object 1 has mass M and reaches a maximum height H above the launch point. If object 289y-a.o e m-ouyym,ey o e3k:d has mass 2M, what is its maximum attained height above the launch point in terms of H ?

  04.28: A rubber ballb*pzqc . c4wj of4;yz4 bounces on the ground as shown. After each bounce, the ball qb;.4 y4 *f4cwjzzcporeaches one-half the height of the bounce before it. If the time the ball was in the air between the first and second bounce was 1 second, what would be the time between the second and third bounce?

  16.21: At 1.94 s after lau9ufe 1uje)-t 2cra 2mbnch, a projectile in free fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the p2b 9etu21j)c mrfau- erojectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertieb (/z: h,2 xjicz.xuwcal cliff. The collision of the pebble with the ground below is seen 1.50 secondsx:. ,zhxi (zbwjce u/2 after the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about th9u nj4 t nrnfig9xbk;c14z 06 snv:.gfe height of a parking garage. One student suggested that to determine the height of the garage, they simply had to drop teut;ic4r9 xnnk4nf v:z .bgfnjgs 9160nnis balls from the top and time the fall of the 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. Ilvvxy *ch2 i8hf)b 6y;ts initial position is x0 = -5 meters and it is moving away from the origin and slowing down. In this coordinate system, the signs of the initial position, initial velocity and acceleration, respectively, v2 c6 h8)*hx;lvbyfiyare

  04.38: A small point-like object is pulled downwards by gravity (down .)okk, bb7frathe plane of 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 los r kobbk,)af7.s 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 ano zd,m7pflt g.2ther rock, twice as .mzg lf7d,t p2massive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The caa-q32d 0pwmu da(y(xx :p:tjxrt comes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is initially movxaxt:jau2y(dp0qp x-3 w(:dm ing at 1 m/s. How far does the cart travel before coming to rest?

  07.11: A cart is initially moving at 0.5 m/s along a track. The ca18. z qy 8ihc0hth0t9 7xcd/frmhn9wf rt comes to rest after traveling 1 m. The experiment is reperh.wtq 88ncthf990 d 1zxfhh/ 7mc0yiated on the same track, but now the cart is initially moving at 1 m/s. How far does the cart travel before coming to rest?

  08.03: A dog starts from rest and runs(ullluef3(;n in a straight line with a constant accelerationln (3lleuu (f; of 2$.5\;m/s^2$. 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 hey1kg-9 y k,wcg. f3ctqf3dd( zight h above the ground. If the ball falls the first distance 0.5h in a time t, how much time 1-qkgz.9 fcty3 cw3d,fg yk(dis required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the righem 1w5yki wx. qg3s)db;w: x8qt. At time t=0,the objects are at the same initial position. Object 1 has xw y1 3:)im;e. swx8wq5gbqdkinitial speed twice that of Object 2; Object 1 has one-half the acceleration of Object 2. 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 horizontally with spw4tbih 2di8gi* l3z2.. phmf oeed 10.0 m/s from a height H above 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 the2gd o 2if.l.t3zi b4h i8pwmh* ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The object remains in free fall -*ub .gd3riieuntil it returns to its initial launch point. Which i3eugr* di -.bone of the following graphs could represent the velocity of the object as a function of time during its flight?

  14.03: An object is droppzwuwqvzh8u) *2b*bzf oxu ,:7ed into free fall. Through how many meters does the object fall during the first 3.00 seconds of flight?8u ) b7zhuv2*zzwoxu*b fwq ,:

  15.02: A box uniformly slides 7.50 m to rest acrosx q;m.juqx38e s a flat surface in a time of 12.0 s. What3exm qju ;xq.8 was the initial speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly ac; ( 2sgr6pmao7u vn2wxcelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the cart move nxmp;2 o(uwsv a7 g6r2in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five secoivaxzii6 (8u6 nds 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 followinzav6i6(x i8uig choices best represents the magnitude of the average velocity of the car during the five second motion?

  14.17: A toy car initially moves to the rig ja/d06 eyg-hn0jg-dbht 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 thea0/ jb 6hedg-yg0-d nj 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 acceleration starting with gu45 g+t0sj wrvelocity $v_0 = 5.00\;m/s$ 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 fall. Whi7hlhu5 )o0vk sch one of the following choices best reprv0h u7oh5 ks)lesents the direction of the object’s acceleration during its flight?

  13.26: An object movb i*:8mhxgdz-ing only to the right 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 12.0 seconds h*ix- zmgd:8b. What constant acceleration must the object have during the 8.0 seconds of stage II?

  15.32: An object moving along a line completes a 20.0 sef0 wou.3nnd+o cond trip with an average speed of 10.0 m/s in two stages. During stage 1, the object moves wo +nnufdow.03ith 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 during the 8.0 seconds of stage 2?

  13.33: At the top of a high cliff, a small 3h+r hn71p:rlj vzta 4rock is dropped 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 f +zh7 vl3 :njarp1h4rturther than the initially dropped rock, what is the speed of the ball relative to the rock?

  16.36: On a straight road, a self-driving car races with a robot. The robotu9 v5b:nofjj:uj l5 v; acceleratel:n u5jjfvo:9;uvb 5js 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 verticall3sh6g ngko5-k8p 6oq position of the ball 0.70 s after release is the same as its vertic5qh66 -kn8g ks3p goloal 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?