94.01: Starting from rest, object 1 falls freely for 4.0 secog7w 9*b ; dc8(ebmp6 fhpm*fpvaw 9q:s/wzwk7nds, and object 2 falls freely for 8.0 seconds. Compared towpbmwwzsh7dc 6:/f9efq**b kp9m p8 7g(w ;av object 1, object 2 falls:

  94.02: A car starts from rest and uniformly m,oro6s) ji my:8xw1maccelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the,ims8 mw)or omy:1jx6 car travel during this time?

  94.03: A ball is thrown off a high cliff with no horizontal ve:9 ebo mz;2+ .lzid3hzvaz7o mlocity. It lands 6.0 s later with a velocity o+bdm7zz3ve 2;l: moao9i z .hzf 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is accelero,b 1g/g y2+m)duzqzpating vertically upward a do ugb/zp)2zgy m1+,qt $10\;m/s^2$. 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 movinvz-94 rpcx sf.g downwards at 27 m/s at one instant. If it continues to fall, one second later the f 9- cp4vxs.zrobject would be moving with a downward velocity closest to:

  95.39: A car starts from rahtilueq8598g; w m t,0m w-wvest and 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 drop8+//ougkn kbf e x/nn)ped from the top of a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the building is approximatb foxg+n/ /8 e)/knnukely:

  97.09: At a certain time, an object in free fall has velocity 4.0 m/s in the u xm59e *-yvuy1u*77pm4v(s vl kgxnjcpward direction. What is the approximate velocity os(n-pvm cu lv*m gx e*xy17 y5uvj94k7f the object one second later?

  98.14: How long must akmn * jv-d,dmm *c/hf. $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling obju6ntue -* r7qiect is found to be moving downward at 18 m/s. If it continues to fall, two seu -u7tn*e i6rqconds later the object would be moving with a speed of

  17.02: A small object is released from rest and falls freely for 4.wzis6c(,ohum9+00.limso l fc u6k ) s00 s until reaching the(+wf,i6zm kuc6mh0 u i0lo.s sslo9 )c ground. 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 upward -sidw+ s*chm;7 v5esp*o9ano so that it rises to a maximum height of 12.0 m above the launch point. Ignore air r mne*wdavihso-+s*c s5;p o 97esistance. When the ball reaches its maximum height, 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 launched straight upward so tfm ja.gl ygbp us70z) +c+hm66hat it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximately how much time does it take the ball 6mm +g c+z.7 pyhs0gbajufl6)to reach the maximum height from its launch?

  98.31: An object slidibdkk1 hv- xm8x 1uce--ng down an inclined plane has speed 0.40 m/s two seconds after it begins to slide. Approximately hd--kv x8ek b- xmuc11how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower j,-f0-qk8mw-p fpvxk plv *:swith a speed of 15 m/s. Coin II is dropped (zero initial speed) frovfxp mlv -,pfp8:0w*- qk- jksm the top of the 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 uc,3admpx;f7.gozp* dy caw-4*s on q9 pwards with twice the initial speed of another, how mu cy.;wc*o pmnzgs*a3 xf-79od ,4dqa pch higher will it be at its apex?

  02.30: A box falls to the ground from a delivery truck traveling at 30 m9tr -/ qdaw/cd/s. After hitting the road,w/-r /aqd9 tdc it slides 45 meters to rest. How 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 surface o;qm lh4,vi;7n. jytobc:s j-lfnmt-q,jl;s;l jv h io4b .c7:y the earth. After two seconds what would be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown vertically ut *cj0zn o+v6ec8d fm-nz(* sutf1:gjpward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of each stone. Rank from high to low the maximum height of each stone. Assumest(8mo*1uvdjfet-nncfzc+j g 60z* : air resistance is negligible.

  10.25: Two point objects are l6, nt+9gyo hu0luxp v(aunched straight upward with identical linear momentum. Object 1 has mass M and reaches a maximum height H above the launch point. If object 2 has mass 2M, what is its maximum attained height above the launch point in terhognytv+ 09pu 6ul, x(ms of H ?

  04.28: A rubber ball bounces on the ground as shown. After each bounce, +1/pww 1efla/0e aakm the ball reaches one-half the height of the bounce before it. If the time the ball was in the air between the first andfk01m aw1 pw/e+a ela/ second bounce was 1 second, what would be the time between the second and third bounce?

  16.21: At 1.94 s after launch, a projyti (ym7n qg:3(qq jn 3fwjd/0zi-jn r1f7rf )ectile in free fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial ang:nfy frjq(g -d1n3j0i7rn/7(qf i )jwmt3z yqle of launch from the horizontal?

  05.02: A pebble is drop4bsh d 8ambz1:ped from a high vertical cliff. The collision of the pebble with the ground below is seea48s1bz :bdm hn 1.50 seconds after the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students w 9ht9zb,e( k *omi md7p)jghz*5p sx4z .pf5rsere arguing 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 pis7h4 z9)f5(,zg5 sjemr zo pkx*b*.hp md9 tfall 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. Its initial position is xj4q ji3.1wo ti0 = -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.w3 1tioqjj4 i and acceleration, respectively, are

  04.38: A small point-like object is pulledkzu3wa 7qj8 zy /f 2av(1ohy4d downwards by gravity (down the plane of the page) but is constrained to exactly follow each of the frictionless pathways qa8j7yzfwvkz3 o4/ adh 1y2(ushown. 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 tes) 2 w8ssbju vgqm9,3op of a tall tower. Half a second later another rock, twice as massive as the first, is dropped. Ignoring air resistbws,3 msqj ugv2 98se)ance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The cart comes tott(twfc1 j6k/ xv+7ji3kn ;gw rest after traveling 1 m. The experiment is repeated on the same trackjf cgv6k t;tw+7( jn31kwxit/ , but now the cart is initially moving at 1 m/s. How far does the cart travel before coming to rest?

  07.11: A cart is initiallyf4r *v4yn)1ct 4ry8ufcg , wov moving at 0.5 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 far does the cart travel before comtgvnvw c1 u4f,*r yo8f4)4yrc ing to rest?

  08.03: A dog starts from rest and runs in a straight line with a conspsog7 d/c1 8fdtant acceleration og/f7po1d dc8s f 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 fzizh. kcz 5.:nx ejsk4 ytw+-(alls without air resistance from a height h above the ground. If the ball falls the first distance 0.5h in a time t, how much time is required xj +k- zn45.sz:hwz.k(y teci to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the rightgb 9f k)oi9c v+2srbfuk,ryiq9.l:r). At time t=0,the objects are at the same initial position. Object 1 has initialfvk 99rg2+f uii bks,yor).b rl9)c:q 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 ho8d w/etlgj65*qbgk j5rizontally with speed 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 obje8j*b 6q5tgd ljke5/ wgct’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. Th fvf343n/+zoe dvwxm+ e object remains in free fall until it 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 fli/3m4dnzevf+ ovf +xw3ght?

  14.03: An object is dropped into free fall.1bne8/h-q kin5, h / n)gpsiwv Through how many meters does the object fall during the first 3.00 secondshpn5ik1/w,bvh n q8n-s ge)/i of flight?

  15.02: A box uniformly s rxq0zwt 3zi;o3x).fs lides 7.50 m to rest across a flat surface in a time of 12.0 s. What was the initial speed of the box when it started itx )x; wzsi3 qfrzt03.os slide?

  14.07: Starting from rest, a cart uniformly accelerates to c0xb0knx k;om2li3(d a speed of 7.60 m/s in a time of 3.00 s. Through what distance does th ckx(dxm3bl0n0 io2 k;e cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five secondss pdn6afy+jo.m lf6 h;z 6l2s7 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 maganjm7 p.6yodh2+;s6z6l l fsfnitude of the average velocity of the car during the five second motion?

  14.17: A toy car initially moves to the right at 60.0 cmf+.yt( fk,p4bq.h hje/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 whe btqkj y+fhe.(.4hfp,re 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 de3yn(av frzl9xu)2 z+iuc45 acceleration 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 whk :7hmsau s +0sj.bg- y k*:m;rzg9shpile in free fall. Which one of the following choices best represents the direction o b0 s*:y:9sgzu.hgh-+ s;kjamkmr7sp f the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0 second trip in two st82,0v ey h cox-u3zqv1effe0pages, I and II. The average speed of the entire trip is 10.0 m/s. For stage I, the object moves witu fo8z2qe0ep c1,v3 0h vxyef-h a constant velocity of 6.0 m/s for 12.0 seconds. 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 si) :1s zqriekce69qx /econd trip with an average speed of 10.0 m/s in two stages. Durii ze q9e6 r/c1qxis)k:ng 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 during the 8.0 seconds of stage 2?

  13.33: At the top of a high cliff, a small rodq: :4cnvvp(ok-,4e /qlwowg ck 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 further than the initial:(ev p: /-lnokw ovd4,4qqgcwly 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 robot acce0md(, (2npgzkrc ed9mjah3j 5leratejep532amg jrz0dd m h,kc (n(9s 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 vertical position of thetzqxj3xf2qq:aj(j9 , ekt ;o2 ball 0.70 s after release is the same as its vertical position 4.10 s after its release. At what time is;(2kjeqt93j:jft, q ao z2xxq the object first at a vertical position that is one-half of the maximum height it obtains during its flight?