94.01: Starting from rest, object 1 falls freely for 4.0 seconds, and obje4y 87qbscd gcts;sono,6b1 v4ct 2 falls freely for 8.0,q146cg odstv;4s yn8 c7bosb seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to afuiykw*;xf 9wd8kn 1nx3*. qn final speed of 20.0 m/s in a time of 15.0 s. How far donx18yk.3i*und x*knf wq ;f w9es the car travel during this time?

  94.03: A ball is thrown off a his;c-msnk,z.n8 id (y tgh cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial velocity of the ball;c,nm.- d8it ynk (ssz?

  95.27: A rocket near the surface of the earth is accelerating v; r3i,w; z60)bde rye;ffmgvnertically upward at nf6z;y;,0;gwmee dbfr)i3rv$10\;m/s^2$. 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 movingn9(*y+6 ; ay19fvwhlhnz.zdp ok2oxo downwards at 27 m/s at one instant. If it continues to fall, one second later the object would be moving with a downward ve.x* (plz9o+fn6hdon yako;w v92z1yhlocity closest to:

  95.39: A car starts from rest and acceknotiu06 +,a l1t;ozclerates 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 fror +:6 dslci6lc7cfgg i: co7x8m the top of a building strikes the ground with lsc7gc+6lf c 6id7ri8oc ::gx a speed of 30 m/s. Assume air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object x4+/m6 kbj(f1jzxj r8anv0 h oin free fall has velocity 4.0 m/s in the upward direc1jrkhzj+4f(0mv8ab/xj6 x on tion. What is the approximate velocity of the object one second later?

  98.14: How long must aa+.fmr fkf( a7 $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling object is l l5au + wx7*w4efw1ghfound to be moving downward at 18 m/s. If it continues toa *u4xl1g+hlw f5w7ew fall, two seconds later the object would be moving with a speed of

  17.02: A small object is released from rest and fal6bl*9xl)l6dg-qm g ylls freely for 4.00 s until reaching the ground. What was the height above the grounbl9xlgl - *d g)6yqml6d from which the object was released?

  11.06: A ball of mass =0.100 kg is la1 fqn1-c(kwk munched straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. -1c1m ( fnqkwkWhen 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 straigh5 soun e(q,w/+mr9+g1nzi z kzt upward so that it rises to a maxi5w +,r9s+ inzqgno 1kmuze (/zmum 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 down an inclined plane has speee3hg: gvvqz459 wes heou3 3)vd 0.40 m/s two seconds after it begins to slide. Approximately how far does it tro)w9uzgs35h:vv4eh 33qev eg avel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower with a speed of 15 :tavldom;ba8l vz(z 1sc8n9w;4 szab 2j . ad/m/s. Coin II is droppe/v9sw;mvad szboz :8c l ndz t;l( b.14ja8aa2d (zero initial speed) from 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 upn8.vuafa83 upwards with twice the initial speed of another, hp 3ufuaa8n8v.ow much higher will it be at its apex?

  02.30: A box falls to the ground from a delivery tei.-p1 q+n mfiruck traveling at 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it take the box to come to -.i+mpq1en if rest?

  03.29: An object is thrown upwards with a velocity of 30 m/s near the surf x/pt4wqjn a*y1;83e. -km (.gsehpz; gu bqqyace of the earth. Afterptmkqq;yhbg. /n4 ey-g 8p e*;.1wju 3qxsa( z 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 te h zbjnxi,z g)-750ouhrown vertically upward with different velocities (1v, 2v& ) o7gei5zx, nj-0ubzh3v respectively). 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 linear*o w- *so7js:+g c wkn.lsryry)*t0nq momentum. Object 1 has mass M and reaches a maximum height H above the launch point. If object 2 has sq.sw s:n*+j)7c*rt*kr0 yloo g wny-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 bo wpdw-r56 n:hfunce, the ball reaches one-half the height of the bounce before it. If the time the ball was in the air betwee n:wp5r h6fdw-n 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 launch, azery7zs.:,o; 0)8fdv sx2dorkv8dnk projectile in free fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what wa8:d.xszse n2o8 ;vfovd7yrdk) kzr, 0s the projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. The col fe/z(h6)tr ko bac*+hlision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what speed did the pebb) (tf6ocz*/kahh +erble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height of a parking : ftv+j2lj.z ygarage. One student suggested that to determine the height of the garage, they simply had to drop tennis balv+ ltzjf2j:y. ls 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 strazf2i2enbm3l q)5gm e+ vn f36iight line. Its 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 positifi5) 2z3m3nen+gvf26 mieb lq on, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravity (dowl+iisbe/hzyup5 vi; f3k3o p;2)vp-t n the plane of the page) but is constrained tovtp-);u+slpv3izykiop3i be/ f ; 25 h 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 tal j68 ge(/t grl2 jcr5dgbw/ud+l tower. Half a second later another rock,w(c 52le budrtggjdg+8j// 6r 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 track. The ca:fzy kwpc+k z -fa7:e+rt 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 f7ae:pc +f+zkwky:f- zar does the cart travel before coming to rest?

  07.11: A cart is initially moving at 0.5 m/s along a 2/jkc7(zgizp 9hkwzqwj e.e b8w668s track. The cart comes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is initially movk.b/kz9 ej6hq7 wz6pz 8e gwsc(8wj2i ing 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 straight lingnp3 k 9otkd;0e with a constant accelerao 9gkd;t30pk ntion 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 abo9*fz1 g bab ;68mh,oz kbdy:huve the ground. If the ball fallda896ubz,; gbfo*1hhbm :zk ys 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 u d/3lqsp*n 2tcniformly accelerate to the right. At time t=0,the objects /p*nl c3sdqt2 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 q g6uyd5 7cbr8speed 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 flidr q 7ug8cyb65ght to the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The object remains in free fall untnq7m7l zd4hzvng 7 g80il it returns to its initial launch point. Which one of the following graphs could represent the velz vn 07qz74lhgn78dgmocity of the object as a function of time during its flight?

  14.03: An object is dropped into free fall. Through z-6f vi v;fzm4how many meters does the object f46z-z v;fvmifall during the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 pgcn hore 14(yd*./yym to rest across a flat surface in a time of 12.0 s. Whar/yp.gocn h1 *(4ydyet was the initial speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed of 7.60 tw704*act301 wsz n jfv0b8;lyg ndvom/s in a tif*jvct y17an 4s0nb0zdt wlgow 38;0 vme of 3.00 s. Through what distance does the cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five 48j5n/y v ph*znh9gqd: kem +oseconds 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 durin98npdn zo+ *v qme/h:k4h5yjgg the five second motion?

  14.17: A toy car initially moves to the right at 60. vwip:)jcxo02pyds .3 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 revcj):x s pyo2pd. wi30presents the magnitude of the average acceleration of the car during the five second motion?

  14.33: An object moves with constant af6(cii2db , ricceleration 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 upwb3 rzz urdhjzq74 :) ib;*zt(so3t/lfard while in free fall. Which one of the following choices best represents the direction of the object’s acceleration during its fl *uh:z73rjbdz o/3zq4sr ; zf)tti(blight?

  13.26: An object moving bz3qhg.cdk ,g 1*n n /abutl4,only to the right completes a 20.0 second trip in two stages, I and II. The average speed of the entznd*ag b3k t,.,4hg l qbnuc/1ire 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 during the 8.0 seconds of stage II?

  15.32: An object moving along a line comp5+tmldb1 8itit5 y+ riletes 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 til+b8 dmi+ rt5 it51ythe 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 smalj5s6 )pculgquw7rv37paz- 4t cz+m-q l 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 tz6z)+ v7c 3qtm j au5- uwps4-p7lcqgrhe 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 (k4v2rjx z /5uixxo6n;ux dk9 car races with a robot. The robot accelerates at xkx4dn(i2kxux5vr;j/ uo9z6$8.50\;m/s^2$ 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 launckdv+q-x mc, ;nhed vertically upward. The vertical position of the ball 0.70 s after release is the same as its vertical position 4.10 s after its release+xmk, vn-q dc;. At what time is the object first at a vertical position that is one-half of the maximum height it obtains during its flight?