94.01: Starting from rest, object 1 falls freely7zshvps,-vu wp 2 p8xz+*ik5p for 4.0 seconds, and object 2 falls freely for 8.0 seconp,us x+ z8kpv 27pw* 5z-shvpids. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerate aqe7tu za-,3ts to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car tra3 ztuqea-t,7a vel during this time?

  94.03: A ball is thrown off a high cliff with no horizontal veloc.xn. jbj:xhq i, +op1yity. It lands 6.0 s later with a velocity oyo px1hqx,n.+j.j b i:f 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surfacehm ;by./g:8bst c4cim of the earth is accelerating vertically upward m8g./cs ibm;4bcthy: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 at 27 m/s at one 2.e)5en) tyaj4i zm lmo*a2 cwinstant. If it continues to fall, onemw*n y4.2l2 ozj5ce ami))tae second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest anduojys2gu7a4 ok5k*m , 3u( 1ejh-yqze 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 dropped from the rua :bect2xrku* :,ido/:h xl:b1 y n.top of a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The he b ibxa:dyxkhour:1:t,c r l*2 n/.u:eight of the building is approximately:

  97.09: At a certain time, aoa+h nn 6c ija*rzz53is++3mer m ;uck)qa7+ an object in free fall has velocity 4.0 m/s in the upward direction. What is the approximate velocity ofe*hrm36a;7nm +a+q k+)aoc+3r uz j csi5niaz the object one second later?

  98.14: How long must a q43,vr +7*jngpqme(h36l q *lird snv$2.5\;m/s^2$ 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 at 18 m/s. If it i2 (d18vepdor6, h/5dpi zjvja0q-yp5 4idrx continues to fall, two seconds later the object would be mo65j(o 05didpje v8 1dxhr rai-yv/2zqp4,idpving with a speed of

  17.02: A small object is released from rest and falls freelyibt7y4 + 9anjzj7k7 o2v8pfau for 4.00 s until reachino avk9za72fti7n4p+y 8ujj7b g 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 la mmb5:0hx9lh eqe: -gounched straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air r:q -e:bhlgem0mhx 9 o5esistance. 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 that it ;hkv jt 3-v/y.vhcln6+ 1zwterises to a maximum height of 12.0 m above the launch point.hjhc 3z k n/l6w tv1vyt-v+.e; 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 down an inclined plane has speed 0.40 m/s two secondsfup dg6 5ww 8xhip,9v, after it begins to slide. Approximately how far does i59dhww 6ivx,f p,8ugpt travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower with mcpf0dd o s-h .e1uirb 2ijfj +d8/o7*a speed of 15 m/s. Coin II is dropped (zero initial speed) from the top of tci ij7ffm+dj/1rhs20 8b-p .*do udoehe 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 upwards with twice the initial speed ofi x7vc.,*cfmb as kwy y9mr);- another, how much higher will it be at its)mb; -*mcvyr f iwsck.y7 a,x9 apex?

  02.30: A box falls to the ground from a deliverc wrt*;i+u w -qluq5ga6f k+9xy truck traveling at 30 m/s. After hitting the road, it slides 45 meters to restl 6-g;u9qt5kw *q u+fcaw+xri . 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 gqs4p usz;;e/ the surface of the earth. After two seconds what would be the direction ozp eq;s 4g/u;sf the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different massd5v8n;tpgxabp-ju 01 (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 maximum height of each stontub15 ;8apjx0 p-dnv ge. Assume air resistance is negligible.

  10.25: Two point objects are laua8uplk6o, y)knched straight upward with identical linear momentum. Object 1 has mass M and rel o,u6a8)kypk aches 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 terms of H ?

  04.28: A rubber ball bounces onqqjq ol3 j;/zfm/c kmy fl8x 3-l9vk69 the ground as shown. 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 seconk6v8q xl/y f oz9km9/;f-q qlcjm33jl d 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 freebch z oj qgfv sjm:vqt8o+wd,t8 /*q/5 xh-*x5 fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s gh :q mqovo,hzxt5jtb 8-5 qd*f//jxw+8sc*vinitial angle of launch from the horizontal?

  05.02: A pebble is dropped x/jl/ ob1qv +q9xtl3l from a high vertical cliff. The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is droppxvlx q9lo/3 /1l+qjtbed. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height of a park(rzg1hcdi0n, ing 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 the tennis balls. If the time for the bal ihdc1g0nrz(, l 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(xkp7b eh; -8)lrp5c 5oo uqzk position is x0 = -5 meters and it is movingeukxr(7l o5z)bhq5cp p k-o;8 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 h4b.beg,kax5 object is pulled downwards by gravity (down the plane of the page) but b x,ebk.5hga4is 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 the3:jaqvalh 86sp+io i8 top of a tall tower. Half a second later another rock, twice as massive as the first,oa s+h 8ij3 alp8qi6:v is dropped. Ignoring air resistance,

  06.18: A cart is initially movism/2h ;wxx:kpng at 0.5 m/s along a track. The cart comes to rest after traveling 1 m. The experime m pw2:/shxk;xnt is repeated 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?

  07.11: A cart is initially moving at i6thcqt n.7s1s;*bv r 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 thrsin6*.t7b;c1 vsq. How far does the cart travel before coming to rest?

  08.03: A dog starts from resvxr.8fgkb91 jy9r f-/7twlb zt and runs in a straight line with a constant acceleratiok/wzb l-vft fx1r 7y 9.9jg8brn 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 w 4.yxkbzu og b7rf20y.d:s/bs )zy8ej ithout air resistance from a height h above the g b)2rzus 4ys0e:bxbkf8/ dg. o.yj7zyround. If the ball falls the first distance 0.5h in a time t, how much time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the right. At timki+ )r/zk /,muq,.nwlzq v :jo3.zmsle 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. After some time T, the velocity of the two objects is the same. What is the, s uk.l v+:nqlmoj m/3zwzr,i/)qkz . ratio of the distance traveled in this time T by Object 2 to that traveled by Object 1?

  12.26: An object is thrown horizontallyvqbj5yv mtn9yj77a (l,w 63ch/h i)z r with speed 10.0 m/s from a height H above the grouna(h 753ij b tzr6lmnyhvj/ y7w9,qvc)d. 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 object 7:kq py/drc,a-6rlm- z u h8z3 h( 3rzby6esyaremains 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 o6zrdbzz6 :y3 q,a k--h8yypur7 ehlcm/3r(a sf time during its flight?

  14.03: An object is dropped into free fall. Through how many meters does n2 vpj7es, b;xthe object fall during the first 3.00 seconds of flightejx,b;sn v7p2 ?

  15.02: A box uniformly slides 7.50 m to rest across a flat surface in a ti;s 8xs14*juw m6er 5vov/seta me of 12.0 s. What was the initia/rs4wv x1 mt *5ass 6uje8eov;l speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed of 7.60 m g7zeci 0 m,.gclxn9yskuz60*55gabm/s in a time of 3.00 s. Through what distance does the cart move in this ti6y, xa zngsg0cu c g57emil*5mb9.kz0 me?

  14.16: A toy car initially moa hi7 4t9p-yxcves 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 the car during this time is 10.0 cm to the left of where it started. Which one of the following choices besi-xc yt97 4ahpt represents the magnitude of the average velocity of the car during the five second motion?

  14.17: A toy car initially moves8dkf* bd1zkfqi *.e1o 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 18d qekd*ofi z.f1kb*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 the car during the five second motion?

  14.33: An object moves with constant acceleratioxp *ne5;e l/stn 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 tguu;nd ts 1;6is moving upward while in free fall. Which one of the foltgt6 d;s 1;nuulowing choices best represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right complete7/*.y*h pf dh z7acflhs 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. What const ayhpc hl/* 7fd*.f7hzant acceleration must the object have during the 8.0 seconds of stage II?

  15.32: An object mov(dnj ,5 +mqe;0eqxw5 yb qpm2cing along a line completes a 20.0 second trip with an average speed of 10.0 m/s in two stages. During stage 1, the objectw5x(n, 2qd jye;bq pmq5m0c+e 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 ofg 1vjl5 9:cae29o flnk a high cliff, a small rock 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 initially dropped rock, what is the speed of the ball relative to the rock: e5l2l1a9cjgv o nfk9?

  16.36: On a straight roarp- j29att 35x unnqc;d, a self-driving car races with a robot. The robot accelera92c5;un-rtqp 3nta xjtes 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 thei aj6aq6lq2 4upyx;3d ball 0.70 s after release is the same as its vertical position 4.10 s after its release. At what time is the object first42y a36qqlx ;ai u6jpd at a vertical position that is one-half of the maximum height it obtains during its flight?