94.01: Starting from rest, object 1 falls 3itu+5;xr une/tx,-4p zry uv freely for 4.0 seconds, and object 2 falls freely for 8.tuei y5v-rz xu3txn,urp + ;4/0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest andxegt:gf t;b81t ys(+s uniformly accelerates to a final speed of 20.0 m1: te; txgy+bg(ts8 sf/s in a time of 15.0 s. How far does the car travel during this time?

  94.03: A ball is thrown off a h32nq+ nl*inkx igh cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What n+i nql3xn*2kwas the initial velocity of the ball?

  95.27: A rocket near the surface of ttbqz./q*o0x l srmbxx5y,rj3 ,e.-b o he earth is accelerating vertically upward ato-q,r0obmxb bxrjx5,yqz /e.* slt.3 $10\;m/s^2$. 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 movswuj48ggrm duz4* , 9ming downwards at 27 m/s at one instant. If it continues to fall, one second later the object would be g8mm *g rud49z j4s,uwmoving with a downward velocity closest to:

  95.39: A car starts from y3k cpz1k5a5c rest 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 a building striewvl)hl.h0 gj *e 7 rdb7/+qv6r)udlekes the ground with a speed of 30 m/s. Assume ail/0gdj q.e* w 7lbe)7+l6 hevvudh)r rr resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free fall has velocity 4.0 m/61ykx.cgrg-k8*i.nn gd xr) gs in the upward direction. What is the approximate velocity of tg*igk yxnc6) 1-g.d g8.r xkrnhe object one second later?

  98.14: How long must c ;ce vo6/a3uno.+z dfa $2.5\;m/s^2$ 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 dhdx. zxws;os ou0; :v*/4k wieownward at 18 m/s. If it continues to fall, two seconds later th v:0w sdw he oxisz;*uo4;k/x.e object would be moving with a speed of

  17.02: A small object is released from rest and falls freely for 4.00 s unm+ b l /4hj e9qxvu;t3se8m)gntil reaching the ground. What was the height above the ground from which the object was re4+j9 nth/ m8xmb3)uvs gq;eelleased?

  11.06: A ball of mass =0.100 kg is launched d4f 1dmnjrdhdn,2f8 7straight 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 the magnitude of the h8d1 7ffdd rj m2n4dn,net force acting on the ball?
D 10.0 N
E 12.0 N

  11.07: A ball of mass =0.100 kg is z30welu:z uoh7 *-efc /ba6kilaunched straight upward so that it rises to a maximum heigh60ha uk7 ui/be-:zoewcz3 fl*t 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 inc9b vy p2+f95f(yt2a tpg5a lmhlined plane has speed 0.40 m/s two seconds after it begins to slide. App a+p pt9byg5l5 a2f9yvhmft2 (roximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward fy sv 2 -u93,v harxb7mrt:vy7prom the top of a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero initial speed) from the top o9 tby: ,ur-sm2xvvhy v37p7ra f 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 upwah j 4 fw 7 ctoa.colw53i;w;/gkuokr,3rds with twice the initial speed of another, how much higher ka5j,ukf3;;lww4go7i3c t.h cwro /owill it be at its apex?

  02.30: A box falls to the ground f 6k*a7xxm.aybrom a delivery truck traveling at 30 m/s. After hitting th bk6mxy.x7a *ae road, 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 x1odt l7fhwc0s;pv,05:-qeqa yxi-tnear the surface of the earth. After two seconds what would be the direction of the displac; :qtc -5oa x ,70-10xqyfesht vipdwlement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown vertically upa3qt- l m*j3 95oz +zikj/oqqrward 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. Assume air r*j- o3q ilqzm3jot9 akrqz/5+esistance is negligible.

  10.25: Two point object .t ,0toson:mvs are launched 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, wha,tomntv .0so: t is its maximum attained height above the launch point in terms of H ?

  04.28: A rubber ball bounces on the ground as shown. 3 *4.yict(xx5 albncjAfter each bounce, the ball reaches one-half the height of the bounce ( c.5jtcx*linxy4a b3before it. If the time the ball was in the air between 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, a projectile in free fall ac,tgs p qta -zrz50-vr.hieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the pr0t s pza,z-q.t 5-rrvgojectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a hig4a8y/hh*/o 9qi tc uxah vertical cliff. 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 re49ux q/iy8hct a/*h aosistance.

  06.03: Three students were arguing about the height of a parking ws,.ngz8d 6t xl9e ye+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 thn8l sw9zg ed+t,6yx. ee ball to fall was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along a straight line. ai+ lryff1i+9v5 c0zv Its initial position is x0 = -5 meters and it is moving away from the origin and slowing down. In this coordinatvl++r cffy ii195z0va e system, the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like obbded p9,h sh*+ject is pulled downwards by gravity (down the plane of the page) but is constrained to exactly follow each of the frictionless pathways shown. Rank these three paths from shortest to longest in terms of the amddh,p+b s9h*e ount 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 tower. Half aj qi5apol1:4v. zq mrtxv276 t second later another rock, twice as massive :4ovt.t mzp v i 2rq65aq1lj7xas the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track 5.wpkl1ulhv 1. 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 carpw1kh1 5vul. lt travel before coming to rest?

  07.11: A cart is initially moving at 0.5 m/s along a trafb,l + lm(*ces6;v5hf4z k0ne rkjvgoq) (fh9ck. 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 co*5vh; , f kho cejmn zllr40vkgefb q(69)+sf(ming to rest?

  08.03: A dog starts from rest and runs in a straight line with *dekn m7xrw 19a constant acceleration of7m xn*kdr 91ew 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 froko+8ixb8pyd t(e 11usm a height h above the ground. If the ball falls the first distance 18be(i1+ktpxyos8 d u 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 ti: qvl l6u3.o)/*rgu5 jtb tjfyme 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 vel6u gyt5ltj 3 ./ b)q*:ofrujvlocity 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 speed 10.8 y he9ley)):85pbbh h9jlc 5o1ckhs b0 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 flight to the ground? Ignore air ckhl5y y s1bhpl:9hb8hcoe )85)j e9bresistance.

  13.10: An object is thrown str2,b u 8w,hkhlt 8hwl8m-exykd io y11/aight upward. The 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 o ,,ke8u8h1owx2 mlhd yhikl w/yb1- t8bject as a function of time during its flight?

  14.03: An object is dropped into free fall. Through how many me/ slfy 5m.vpm1ters does the object fall during the first 3f/m 5ml 1p.svy.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat surf2)mpqku+un-2jqq1 jg97u id nace in a time of 12.0 s. What was the jqdnq7iuj2 2ukmpu -g9n )+1qinitial speed of the box when it started its slide?

  14.07: Starting from rutrgge7 oxn r;j88;, mi.l )zpest, a cart uniformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distancj u8pi)g7;8r.m orx;,g zn tele does the cart move in this time?

  14.16: A toy car initially moves to th. rk.l+ac0cx:v56bels1r * uz dso)xxe right at 60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s to the left. The total displacemx5.u0s lrcb+r:k xlz* x) ve1.as doc6ent 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 five second motion?

  14.17: A toy car initially moves to the right at 60.07dhoxmi 7+(d0e:es ne cm/s. Five seconds later, the car is moving at 40.0 cm/s to the lefmi7e dhs+ 0oe(xde:n 7t. 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 starting with velocityf p/*y sa51sgr17a ozd $v_0 = 5.00\;m/s$ 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 hg4ktwm-)uvx+ bq/o+ upward while in free fall. Which one of the following choices best represents the dir- 4m/+qk) vuwb+gxohtection of the object’s acceleration during its flight?

  13.26: An object moving only to the right cod07u/ fvf :t wk mwy:s ksc2p/xh gc(+56,gfqzmpletes 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 yc/q,hvw57f ug+ m / kzfkfwcdx(: :2t6p0gsshave during the 8.0 seconds of stage II?

  15.32: An object moving along a line compe5-y3gsrez/ h2mi0r34-y7 wjtfui uzutd6x+ letes 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 12.0 seconds. What constant magnitude acceleration directed to the left musti7tre6sih t5ufy23 zw 4/yrm e0g --xd3j uzu+ the object have during the 8.0 seconds of stage 2?

  13.33: At the top of 5sd e s8t8lj1zxwe;l(a high cliff, a small rock is dropped from rest. A ball is launched straight downward with an initial speed of 36 8d(;1w lsjlx 8est5ezm/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 sel7dje,do/y4 pnj /8jucf-driving car races with a robot. The robot accel ynod4d jcj,ue p8j7//erates 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 positi2uhl 5wg(s* xjon of the ball 0.70 s after relesj *uxwg25(l hase is the same as its vertical position 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?