94.01: Starting from rest, object 1 falls freely for 4.0 seccks5)b f) ( xb:kxnu(tonds, and object 2 falls freely for 8.0 seconds. Compart(snufc)x:)( b k5bk xed to object 1, object 2 falls:

  94.02: A car starts from rervfaq 9-35w qfst and uniformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car travel during this -w3rv5 faqqf9 time?

  94.03: A ball is thrown off a high cliff with ljge+di woy6pbd)fj)+0zo, v,1,ge fno horizontal velocity. It lands 6.0 s lav+g6g0 webjl y+ood ,, i1de)pfzj ,)fter 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 aczxuqj ppt /t2,4gc2i0n1noe9d x e)-zcelerating vertically upward aupixtncd0 912x 4-2zgeztj) qne ,/opt $10\;m/s^2$. 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 be9ue0s8 1ez6j nq*fcmd moving downwards at 27 m/s at one instant. If it continues to fall, one second later the o ezus91 nj8 6mqc*0fdebject would be moving with a downward velocity closest to:

  95.39: A car starts from rest an3y*jgv 8b8i/j*-tpf3c1 vuiemf 4 ,s cwzw o*wd 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 :)h:a lpbat fqk.,go3 is dropped from the top of a building strikes the ground with a speed of 30 m/s. Assume air res,ob)3aa f p.:h:gl qtkistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free fagtqh w g53(lx.1of7gu ll has velocity 4.0 m/s in the upward direction. What is the appro13.glh u (5tgwof g7qxximate velocity of the object one second later?

  98.14: How long must1m;ep7 taiu4v*k bgrz 9ws;c; a $2.5\;m/s^2$ 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 dpj 8*+xx; qekfownward at 18 m/s. If it continues to fall, two s;fpq 8 jx+ek*xeconds later the object would be moving with a speed of

  17.02: A small object is releaw -4-swivnzut byjs73hg,2 7l sed from rest and falls freely for 4.00 s until reaclnyjhb t 7gwus2-,4z-i7wv s3hing the ground. What was the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launchednn kup,x)0nnarh5b ::6 x4lcw straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistancn k,u6xpah 5 :cl bn:wx4r)0nne. 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 la9:ydn,bx/:xr i jfry :unched straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore xnxyyrd,f/jb:i 9r::air resistance. Approximately 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 speed 0.40 m/s two 5l9m6t q7(g+my kpjsls.j -ns seconds after -pmlj+gs s9q klt6y 5.(ms7jnit begins to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from thr;k5gl 0k r*cea 9w3nze top of a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero initial speed) rkzr; 0l53 *gawec9n kfrom 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 qdaf 2du (z7:gthrown directly upwards with twice the initial speed of another, how much :(d2d ua z7gfqhigher will it be at its apex?

  02.30: A box falls to the ground from a delivernq:wo 7o;u8 gzy truck traveling at 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it take the box to come g7o ;wqu8o:znto rest?

  03.29: An object is thrown upwards with a velocity of 30 m/s neafsww68unm, *y r the surface of the earth. After two f, s*w wyum86nseconds what would be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of difi; tpp)-wjl)s b;l4qqferent mass (1m, 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of each stone. Rank from high to low the maxi;j siq)l q4tlpb-)pw ;mum height of each stone. Assume air resistance is negligible.

  10.25: Two point objects are launched straight upward with idqf4w(ygr 6khy4x8 z -gentical linear momentum. Object 1 has mass M and reaches a maxgw8 (kfgryh 6y4-q4xz imum height 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 shown. Aftfw3tzu,- 6 2v.jev fgher 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 second tvf.jv6eg3wz- 2hf,u bounce was 1 second, what would be the time between the second and third bounce?

  16.21: At 1.94 s after launn- 8oy0emdnq1ahdr k06x :i u9ch, a projectile in free fall achieved its minimum sp0i r-um n9d06a1:q8 doehyxnkeed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. The collision of the peatyp/e. 8yyq)z)vm3z o w3c:ebble with the ground below is seen 1.50 seconds after the pebble is drtq :y /ze3 yezp)ca38wy)v .moopped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students weregdbv3k utlj oyg tf.962 2+t7v arguing about the height of a parking garage. One student suggested that to determine the he2vf k+y7v 2.g96tgtdt b3lou jight of the garage, they simply had to drop tennis 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. Its initial position is x0 = -hd ;.qq.k 9d7ibv rok25 meters and it is moving away from the origin and slowing down. In this coordinate system, the signs of the initial position, initial vel7iv9rd .k;ho2 qbkd .qocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravity (dow mv./:w weq )m ax((dae0m3ytyn the plane of the page) but is constrained to exactly follow each of the frictionless pathways shown. Rank these three paths from shortee)tm(v0ax/meq(.: wy3 y dmawst 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 trz , pb eyqj -t80cd8az/y/+bgower. Half a second later another rock, twice as mas +jy, rczqpdbyat e/0zb88/ -gsive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially movingb t7 fg;2qopo; 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,t ;og7 p2;bqof 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 initially moving at 0.5 7myh6yvk31wf 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 movinyv3 ym6 1w7fhkg at 1 m/s. How far does the cart travel before coming to rest?

  08.03: A dog starts from rest and runs in a straig ltg.5t;rv v3sht line with a constant accelerrl;g.v v 5ts3tation 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 height h a8g jn2:c. cbnvbove the ground. If the ball falls the first distance 0.5h in a tign jnc :2v8cb.me t, how much time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move6ldlp gxn*gn 97nnf2tra90/d yfm3 /d and uniformly accelerate to the right. At time t=0,the objects are at the same initial position. Object 1 has initial speed twn3ay6f 9ltf0 ldd */9mgnnng /dr2x7pice 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 v2sc *cqh 4v:6parcyl) 6dwuyu a*+jup-h :z*speed 10.0 m/s from a height H above the ground. The object reaches the ground with a spe qa: ) +d4pc6uuhzvj *r-2yalsy*6cvc p*h:u wed 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 throcmxd 6tit;77+ o3 gawrwn straight upward. The object remains in free fall until it returns tw gorci3td+a; m6 xt77o 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 free fall. Through how many meters dxr f-v/pdn1 pz;:rd;h u(/wzfoes the object fall during the first 3.00 seco/ 1z(dhvu- ;fxwrpfd/;r zn:p nds of flight?

  15.02: A box uniformly slides 7.50 m ;)5y *incgwmx to rest across a flat surface in a time of 12.0 s. What was the initiyiwcg) m x5n*;al speed of the box when it started its slide?

  14.07: Starting from re2)dw c) 49sr,+0ba wjlrhpuwrst, a cart uniformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the caru+rw ,w)b20dwrhrc9sp a)lj4 t move in this time?

  14.16: A toy car initially moves to the right a c1z i /hy+9tfvrgf2s,t 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 ff yrg ihszc1t+ 92,/vduring the five second motion?

  14.17: A toy car initially moves to the right a,e)m7y3l w7c, kfeenm t 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 acceleration of the3wme m)fey,77,n celk car during the five second motion?

  14.33: An object moves c3yha5sq (e2cr ol7 9xwith constant 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 ip1hkfd 6 znpn)r vf/. hr2,zc,v(d* uis moving upward while in free fall. Which one of the following choices best represr( )fz,dfpr2*ciu.1dznph6v ,nk /hv ents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the rig hf+wizw2mt* w3s nk4alv02j- fe2de ,ht 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, t k2w,+zfji m -2wn3dhf *wt4e02ve slahe object moves with 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 seconq :qvrm- l29i:mah k.yd 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 accelerh lvmi.m:9akq-:2yrq ation 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 sgxq 9+bsvz)* 7,b iiqqmall rock is dropped from rest. A ball is launched straight downward wiq*79s )+b zqbx,v gqiith 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 relative to the rock?

  16.36: On a straight road, a self-driving car races with a ren :pwg ny*i60obot. The robot acceleraten* ne yg:p0w6is 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 pekbw rp-zr/ta/ 8y8g;, *fu jrosition of the ball 0.70 s after release is the same as its vertical position 4.10 s after its rj;,/a t*uw /rp8eg ky8 zrf-rbelease. At what time is the object first at a vertical position that is one-half of the maximum height it obtains during its flight?