94.01: Starting from rest, object 1 falls freely for 4.0 +w7h+1bi)p 4 4hzd;)pujj+iahrifyz seconds, and object 2 falls freely for 8.0 seconds. Compared tofi+ +w)a7b u)pzjh+4ii py dh;4rhz1j object 1, object 2 falls:

  94.02: A car starts from rest and un.jbx. jfy213qpimvuhcjn0 2- iformly accelerates to a final speed of 20.0 m/s in a v2fjcy 1.bh3xqiup -m.2j0jntime 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: axxa +ji2s/v00 jdqe+f on:l horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial veloi/xa 0+evsx+qd 0 f:o lnaj:j2city of the ball?

  95.27: A rocket near the surface of the earth is accelerating vertically c:dm )9scq 3sifd37) epyi;lhupward ap ;l933 s7:i)fycq )i cdmhsedt $10\;m/s^2$. 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 mo4)iel8ikw(qy,o3 s jqving downwards at 27 m/s at one instant. If it continues to fall, one second later the object would be moving with k4yei8qlj(, iw 3qo) sa downward velocity closest to:

  95.39: A car starts from rest l3yg08e:(muu.q6 k:sx4 hkvguqzq/ +sy uf4v 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 dropped from the top of k*08jvbnd dg5a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the building dn *5v0bdjg8k is approximately:

  97.09: At a certain time, an object in free fall has velocity 4.0 m/s in the pghdxp6hq8d e3p2thj.w9-9 xupward directihh9pxj9. e - hqd3 gxp8pd26twon. What is the approximate velocity of the object one second later?

  98.14: How long must a2w**e a i/fnyn $2.5\;m/s^2$ 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 downe46.hdvrji7*bokk o0; xx gb 7gv4*saward at 18 m/s. If it continues to fall, two seconds later th40xk ;6 b4is vh*xvrj oga.b7 kgod*e7e object would be moving with a speed of

  17.02: A small object is released from rest and falls frpt3ki.uq h1f3r m63vhx (ah+ veely for 4.00 s until reachin 3a 3+hfpt3v.h1rviqkm uh6 x(g the ground. What was the height above the ground from which the object was released?

  11.06: A ball of mass =0.100u n7zb+42s jki kg is launched straight upward 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 thb2 kz su4ij7+ne magnitude of the net force acting on the ball?
D 10.0 N
E 12.0 N

  11.07: A ball of mass =0 e.v s2zz:8s0ylzj5vu-lezo -.100 kg is launched straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximately how much time does0l.- so8sluev2e :j-5zz vyzz it take the ball to reach the maximum height from its launch?

  98.31: An object sliding down an inclinex+/nwgm k:h;k,: jw nk6ie:qjd plane has speed 0.40 m/s two seconds after it begins to slide. Approximately how far does it travel in threen ,kq;hmkxw+gjjwki/:6 n:e: seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower with a s. hzk4ctxy7) bpeed of 15 m/s. Coin II is dropped (zero initial speed) from the to.h tb xyk7cz)4p 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 upwards wjtz y.b*(ksi6o x* 2vnith twice the initial speed of another, how much highei2z(6y* *vsxknt j.bor will it be at its apex?

  02.30: A box falls to the ground from a delivery truck travelingjb 7(aa/v7zzo t-yy dpz -yp+4 nwqs69 at 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it take theyp-zatj4v7y/96wszzo yp-d + n7a q (b box to come to rest?

  03.29: An object is thrown upwards with a k,ix4m62yi:pm :6cug z)psmn velocity of 30 m/s near the surface of the earth. After two second , zkp4u2m6cpn)is :g:mxy6im s 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 ver-5momo1*g+cgltc- h i tically upward with different velocities (1v, 2v& 3v respectively). The-imc1-o l*+o ghg 5mct 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 upwaruvi v ;wan0,o,d with identical linear momentum. Object 1 has mass M and reaches a maximum hv,a wn,0 ;oivueight 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. After each bd*7 w3kkn)- tulpepk.ounce, the ball reaches one-half the height of the bounce before it. If the time the ball was in the air between the first a*w- ku)pl ke7tn3d pk.nd second bounce was 1 second, what would be the time between the second and third bounce?

  16.21: At 1.94 s after *dgko ,hgp1/nw7qo, alaunch, a projectile in free fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle a,odgk,17g* /qw ohnpof launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliag 2+(ar.y vxdff. The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resis+2 (aady xvg.rtance.

  06.03: Three students were argu:-ahy9zzh,a0 d4) xh2: w4hf alaismk )z)asging 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 the tennis balls. If the time for the ball to fall was 1.4 seconds, approximately ad4 :axshwk) 0fa-mh)4yz aa: h s,i)zghz2l9how tall is the parking garage?

  05.07: A snail is moving along a straight line. Its initial posi6fagf i49.i iction is x0 = -5 meters and it is moving away fgicf 69i4i.afrom 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 pulled downwards by gravity (down the p9wyz f2bk(+./f8 e9gcy t ks:5qaqyeg lane of the page) g ffgce2qeqybk9+y9y.z8:wa5 t/( sk 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 cq ;,jhxt5xp- tower. Half a second later another roxp;h,ct qxj-5 ck, twice as massive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a 5 p cv/uh4ryv5track. The cart comes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is 5vhp5u yc/4 vrinitially 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 m 0jotm )w8z6qf/s along a track. The cart comes to rest after traveling 1 m. The experiment is repeated on the same track, butmq0)wj z6 8oft 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 i;( sq58+ynulyk b nb5 rjtgz85q*6bjand runs in a straight line with a constant acceleyltn by5u *qr( knbg685+;b8qjisj z5ration 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+roou,h8bq pf*ddn0 d) /r+ cu rest falls 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 to fall the remaining distance of 0.5hfrhu, np b)o8 *u/qr+c+dd o0d?

  10.38: Two objects both move and uniformly accelerate to the right. At time t=0, j 9voh:t7gjl:the objectsjj :l vo9g7h:t 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 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 sp/ vhlspdxh, : a5q/y(msgovgoj5- *x)eed 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 choicegg5 vm:/*h(l a5d x hp,yxosv)- qo/jss best represents the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. Tho( t o g60k8wo;eaesuc2;g0hte object remains in free fall until it returns to its initial launch point. Which one of the following graphs could represent the velocit;kge tou8;cts(o6 o 020awghey of the object as a function of time during its flight?

  14.03: An object is dropped int f oi*xs4u;ki+dr:gqi4 l98izx96v pbo free fall. Through how many meters does the object fall during the first 3.00 secivkbdz x: o i4 i+6iru9ls9g*q;8x 4fponds of flight?

  15.02: A box uniformly slides 7.50 m to rest acrossmkae p3x(;e m p5pz0i5 -ynn;7ikyv2u a flat surface in a time of 12.0 s. What was the initial speed of the box when it k pzyy03;u epx;5m n(i7iev-mn5 k2pastarted its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a jr mom (447exyspeed of 7.60 m/s in a time of 3.00 7x re my(oj44ms. Through what distance does the cart move in this time?

  14.16: A toy car initially moves tozfs9;e*fme w./m;(zheh: up(bqx)h 3bbt y:z 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 best represents the magnitude of the average velocity of the car during the fi ;f:)ewm:bxeb;(u .9 qt zshfpmy /(ze *3hbhzve second motion?

  14.17: A toy car initially2 w 7z /b6m2;ojkdokhp moves to the right at 60.0 cm/s. Five seconds later, the car is movi6z p oj2 w2;hkd/okm7bng 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 the car during the five second motion?

  14.33: An object moves with constant acceleration stare i1mq6-na)u rting 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 mo-qb/qutiavep d o ;.2-ving upward while in free fall. Which one of the following choices best represents the direction of dq.e-u /v aqi ;b2pt-othe object’s acceleration during its flight?

  13.26: An object moving only to the right com lo1z*7dqt whcgd9rkc 1bj;1 +2n w4sepletes 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 constant acceleration must the object have dulhjqtce o nz+g;s2*bd9c 7wr11wk1d 4ring the 8.0 seconds of stage II?

  15.32: An object moving along a line completej+x5yx;z wq3vgbcsk9otzq7 . o).ly z c3uu;)s 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;wo cok3 vy bqcx. uyzu)j q95.7xlz;+t3g)sz .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 rock is 0k /2 hq s5lkcq0t6kbbdropped from rest. A ball is lb 56l 02kcst kkb/hq0qaunched 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?

  16.36: On a straight road, a self-driving car races with wmd woqf*5g. 7a robot. The robot acceleratesg* 5dwoqmf. 7w 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 upwari14 ;z *bc f ))tt4dxvfmglx aki;vuv/8zti-3 d. The vertical position of the ball 0.70 s after release is the same as its vertical po v8 uzv/a 1fkz bc3m*-xd;)v iixf4 gitl;)t4tsition 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?