94.01: Starting from rest, si--n d;jd*xuu)p f0 uobject 1 falls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compared to objd; *j iux)sd- fuunp0-ect 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final speed of 20. a/opa7yfkk5 :0f7:kopaay/k5 m/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 high c;7u*ydtu akgj.s2u odzn9(q8s ,ox5pliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial velocity of txpa*s tyd2gs(dj9 ;u.n75 8 z q,kuouohe ball?

  95.27: A rocket near the surface of the earth is acceleratingm63)sep.yf w e vertically upward at e6wep m3y. s)f$10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling body is found wv -t+palr1 8xv 5ol:1jbthzq2b7 l r*to be moving downwards at 27 m/s at one instant. If it continues to fall, one second later the object would be moving with a d: z t1bx7qt28ar1vr-ophlw5j b*l+lv ownward velocity closest to:

  95.39: A car starts from rest and a3qq1 o./ maa r1nj mh5fvf1my.ccelerates 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 h6sjb* 1ko p+xdropped from the top of a building strikes the ground with a speed pkx6o1*jb+h sof 30 m/s. Assume air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free (yl8tl tko0t5- peb*vfall has velocity 4.0 m/s in the upward direction. What is the ap 8lt(yt bvlt05pe*ko -proximate velocity of the object one second later?

  98.14: How long must azibf) 9kai1/o3o7su3+ p upcxs 6ds:f $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling obj+cy*3pxg0san0o 4 *;vu s gwb.*ur gglect is found to be moving downward at 18 m/s. If it continues to flcw. ar0*0*n4;+gspb ouu3 gy *gsgxvall, two seconds later the object would be moving with a speed of

  17.02: A small object is released from rest and falls freely for 4.00 sj :(lvw j3* xr(19i,uyjzxuss until reaching the ground. What was the height above the ground from whwx( sj s rzx*:ulj9 ,1jy3v(iuich the object was released?

  11.06: A ball of mass =0.100 kg ll8og4o iu m,/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 the magnitude oumloi/,48gl 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 straighqo(-x wc puibycdli/f (- c6w60g w,a-t upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximately how accic(o x(w d,-wby 0gflwpu-i -66/q much time does it take the ball to reach the maximum height from its launch?

  98.31: An object slinel/jz7 *io-hdj84b zding down an inclined plane has speed 0.40 m/s two seconds after it begins to slide. Approximately how far does ib4*/ dj8lne7 hzoiz-jt travel in three seconds?

  98.40: Coin I is thrown upward fjgp0y5t9/poj jb 5 n9vrom the top of a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero initial spe j y90t pg95o/jnbjp5ved) 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 upwards with twice the initial speed ctqo p/f6i +mnzs(x*03lq/ miof another, how much higher will it be at its zcq/ms lp3qot6m x* /+f0i(niapex?

  02.30: A box falls to the ground from a delivery truck traveling an iia.ky i(k03t 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it take the box 3 nk(0yiki ia.to come to rest?

  03.29: An object is thrown upwards with a velocity of 30 m/s near the surf6+zetr0qvwnke xik o:1c1u(+ ace of the earth. After two seconds what would be the direction of the displqo6ze(01ncvr i+k +1 k xe:wtuacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, if ,f9*wbw6rn,i-e hn 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of eacfhwebw n ,*6fin9r-i ,h 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 mo,nur5t alak(x5gqev 77g-6 d vmentum. Object 1 has mass M and reaches a maximum height H above the launch point. If object 2 has mass 2M, what is its maximum attained height above the launch p-x5(vea t gau76d5r,qv7 kg nloint in terms of H ?

  04.28: A rubber ball bounces on the ground as shown. After each bounc0tthoa2p , rqtl10e/h e, 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 bounce was 1 second, what21 ltqehr0 /o,hat0pt would be the time between the second and third bounce?

  16.21: At 1.94 s after launch, a projectile in free fall achievedr 1jd -o;zj-5qjpq6vm its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch from the horizo6 dj-jj;omp vrq5z-q 1ntal?

  05.02: A pebble is dropped from a high vertical cliff. The collision of thexp7b 8(g/sevsl i8u;n:q9vlv pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what speed d; 8/vvqel i89pv(x l:nssgub7 id the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height of a parking garage. Onei2x yq h1;a gvbd:f-2f student suggested that to determine the height of t;fgqf2 iv y21dhx-ab:he 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 (w sdrt9/ bsv 6pq2- 4omvd/lbis x0 = -5 meters and it is moving away from the origin and slowing down. In this coordinate system, the signs of the initial position, initial velocity and acceleration, res6vv(- /odpl9tbs mbqrdw24 /spectively, are

  04.38: A small point-like object is pulled downwards by gravity (down 2xej.bh p7 h/7 to+ sbbuv3ia3;yd2zdthe 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 amount of time (T) necessary for the object to b7xb3e2d7b; p+ j/hyo 32haz.vdubtise 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 a second later anotse36). hgvghj cp,ria8 :2,f xnfr v/pher h/,prcfhirp.v32e ga8x :,6s)v fgn jrock, twice as massive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s +ax .c9kf ys*+an q gx,sj0r:t,2hc jnalong a track. The cart comes to rest after traveling 1 m. The experigca : hrfnsq *ny,a+.,2tk jx9cxs+0jment 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 0.5 m/s along a track. The cart comes to reuu q :zw(h 6c4poli:f(b7-rg tst 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 h:(6f47- iru(tzpgl u qwob:cbefore coming to rest?

  08.03: A dog starts 3k )gf:vj(n 6hj ,rgv2flms s3mog: 7bfrom rest and runs in a straight line with a constant acceleration on(js fh:, vgmg vms:6)337o lrfg2 jkbf 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 witho )f21ngif d+xtcdyb8-k qs wz5v b75;kut air resistance from a height h above the ground. If)vd-sbki7 +2 xyfd55bg; f18wtcznkq 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-u6; bw)fpkg*ogi 8eknx r 91b. At time 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 ratio of the distance traveled in this time T by Object 2 to that traveled *-g wg6bn9 fopr1e;kk 8xib )uby Object 1?

  12.26: An object is thrown horizontally with speed 10.0 m/s from a u0*hcw9l7oph height H above the ground. The object reaches the ground with a speed of 20.0 m/s. Which one of the f0uwl hc7*9 hpoollowing choices best represents the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is throc gkd ,4t1 6.hby2uievwn straight upward. The object remains in free fall until it returns to its initial launch point. Which v1i64.bht2e cg k ,yduone 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 does the o- bd4m ls:(gbtbject fall during the first 3.00 secondl 4(:tb-s bmgds of flight?

  15.02: A box uniformly sli5f4k/9omq adt.n bt8sdes 7.50 m to rest across a flat surface in a time of qstfnombkd/84. 9a t 512.0 s. What was the initial speed of the box when it started its slide?

  14.07: Starting from rest, a cmg)tz/v 1b )qp.k (llrart uniformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the cart move /z.) gqpml1 rv(ltk )bin this time?

  14.16: A toy car ini++uh+cuv v7,y qo.qxhym * ,ultially moves 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 best represents the magnitude of the average velocity ofuqvy+ uv ,+hmco*q uy h+xl,7. the car during the five second motion?

  14.17: A toy car initially moves to thm;ek ; -t7 9fnmab2trce 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 acceleration of the car during the five second motioec;n-f;tk9m2ar tm7 bn?

  14.33: An object moves with const,3 xu(tdf7t)day6i 6 exyq6+:lflu juant 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 is moving upward whil2zl.g*t(5l2 +9rn,ecy avssa o-f nu me in free fall. Which one of the following choices best represents the dirnyta 2lc( zl.ng-+as e5*, rv9oufm2s ection of the object’s acceleration during its flight?

  13.26: An object movinafp+9d w n6yh2g only to the right completes a 20.0 second trip in two stages, I and II. The average speed of+y6 pa2n9fhwd 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 during the 8.0 seconds of stage II?

  15.32: An object moving along a line y cry1/1bac 7* u1-kbzvin z8owta,9wcompletes 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 k*v cyctni, z/o 9b7w ab-1zwyu81a 1rvelocity 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 of a hll kf7ztt8- xy+1j yc;igh 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 aftefxzcyly j8tl -+7;k1 tr 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 5 3- q bbj (,sn(khqo0/pebabtself-driving car races with a robot. The robot acceleratesahbk-pb j(/eq5 qbt(,b3n0so 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 posis./i,/fvvbz : 56x ob5iwqf pction of the 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 first at a vertical position that is one-half of the maxim/ibw/6x b czopivf5v :sf.q,5um height it obtains during its flight?