94.01: Starting from rest, object 1 falls fre s,8 *rmjfd3maely for 4.0 seconds, and object 2 falls freely for 8.0 seco8da*m j 3r,sfmnds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest anzt70q* +y tlt5dqe jw-d uniformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car travel durin*lz+qjwt7-qde0 tyt5 g this time?

  94.03: A ball is thrown off a h ucuaf*3:wm;q 4ymp ,high cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. W3mc 4fp,w au;u: *mqhyhat was the initial velocity of the ball?

  95.27: A rocket near the9(bh wf,ath 3t surface of the earth is accelerating vertically upward (tht ,39bw afhat $10\;m/s^2$. 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 iub f4d:o.dp, uu*5x6seg1vydnstant. If it continues to fall, one second later the object would be moving with a downwf1ds *,u 4vodxbp.g56u eu:d yard velocity closest to:

  95.39: A car starts from rest and acceler j8xq--px(6j/cqj.jgl m fi 6cates 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 t: iht6d0*o elfop of a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ignoreef :60ol*dith d. The height of the building is approximately:

  97.09: At a certain tim 7rjjs 6w2m( s h7au8vtx*gvu kt:kf3+e, an object in free fall has velocity 4.0 m/s in the upward direction. What is the approximate :w k3r7jgxv( msj2vtuhf+a*876 stk uvelocity of the object one second later?

  98.14: How long must a ( xp(h z:bdv/v t(og-p$2.5\;m/s^2$ 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 -2p beod )tv/t*taq3xit continues to fal) *o -xtvd32tep/ taqbl, two seconds later the object would be moving with a speed of

  17.02: A small object is release)38tt 4o6o-1olh yywjj: v ehbyn/8rn d from rest and falls freely for 4.00 s until reaching the grou8oj)rt en3w6/oj4y o1hy byln: th-v8 nd. What was the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straightpoq1530df qsxz 3 j1ba 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 fp0 jxs1qq 15odza 33bfollowing 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 launchecaqy ktp(yy6qwiw:l (-qsv1 (5 5jt3 fd straight upward so that it rises to a maximum height of 3tyy :s a -kfjw6wvctlqq (1(qy55ip( 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 slidings15h7np elwf,k e(gc: down an inclined plane has speed 0.40 m/s two seconds after it begins to slide. Approximately how far donh,7(5fe s1:gpl w eckes it travel in three seconds?

  98.40: Coin I is thrown upward4g+0wt( jswbsm+w6pd from the top of a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero initial spwjb(pd g 6+4+swwms0teed) 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 initixe:+lt)i wbbu ajayo/ +.(,rz sf;z3zal speed of another, how much highlb r;o+: f eu.z j)bw/stx iya(z+z,a3er will it be at its apex?

  02.30: A box falls to the gf.d-y5 mk 7mj-s jksf9round from a delivery truck traveling at 30 m/s. After hitting the road, i.jmmf-f57y js 9kskd -t slides 45 meters to rest. How long does it take the box to come to rest?

  03.29: An object is thrown **ll:a0hz e6 ya)if ddupwards with a velocity of 30 m/s near the surface of the earth. After two seconds what would be the direction of the displacement, ea6)0lyhl :di*daz* fvelocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different massb6)u/lyokp b aezu 297 (1m, 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity29/ bukel opz)a6u7b y 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 launch:nr4 i5scas6 k obp;q0ed straight upward with identical linear momentum. Object 1 has mass M and reaches a maximum height H above the launch point. If object 2 h s0c b456 qsparnk;:ioas mass 2M, what is its maximum attained height above the launch point in terms of H ?

  04.28: A rubber ball bounces on the gr .q6dewln 2a4m-:hm1x pwojb 2ound as shown. After each bounce, the ball reaches one-half the height of obw.e 21jdhn: am2-pxlm q6w4 the bounce before 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 s9m9dea4m y9zachieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of la99 y msm9ead4zunch from the horizontal?

  05.02: A pebble is dropped from a high vert*ia ,v*qlyz1gdf1 d d3ical cliff. The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what spe d1*d1val *gfyqz3i d,ed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height of a8 k)q6xk,kop g parking garage. One student suggested that to detxgq6k)8 k ,opkermine 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 how tall is the parking garage?

  05.07: A snail is moving along a sttolk qtox0 .;xmjc591 raight 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 position, initial velocity and acceleration, respectively;tkto m j9o 5ql.x10xc, are

  04.38: A small point-like object if dq 3zm)5xz: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 longe53: qiz)fdxmzst 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 towerfl 4 kvd/z,tm bd0pl9.. Half a second later another rock, twic0f/zdl t.,vl 9 dpbmk4e as massive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 fa 6r -wiv2 *a5qe*w05rqmry gm/s along a track. The cart comes to rest after traveqwr mv5*6rfyg ar*w a-e q05i2ling 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 coming to rest?

  07.11: A cart is initially moving at 0.5 m/s along a track. Thfn1,vt(u27et/c wayt e cart comes to rest after traveling 1 m. The experiment is repeated on the same track, but now the fn eawtyt12tc7,( uv/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 and rd,w :fxr c/1kf j2hbhea 1 ,4j8w1kdwnuns in a straight line with a constant acceleration ,/k dexk hjw:fhwfwcj2 1b1 1nd4,8raof 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 resistanc 7wga: idg,h-u 0vgk)pe ox(1fe from a height h above the ground. If the ball falls the first distance 0.5h in a time t, how much time is require7v0ipe )x(gu ga,dow:h k1-gf d to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly4eh4l288ejv rlc z(mf accelerate to the right. 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 o ( je8v2er4lczhfml4 8bjects 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 10.0 y5 u ead5nnv4w:p2fs rq y*-n1m/s from a height H above the ground. The object reaches the ground with a speed of 20.0 m/s. np*y1:5 y4uqa 5dvsw -f2nren 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 remains in fq*1 cvem.6wr p 0j,;ij0qjqzzrv 7c0free fall until it returns to itszjrf, rqijqp;0*.0cc 7v0q1e6w vzjm initial launch point. Which one 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 doefe.y:p kz.zgi( g p44v,vdz,is the object fall during the first 3.00 seconds o.yk.egfzi 4pvd: ,(z4p ,gvizf flight?

  15.02: A box uniformly slides 7.50 m to rest ywi8 8h mwl:22p:sf 9yfdaqs v 0u)0atacross a flat surface in a time of 12.0 s. What was the initial speed of :2 0fsst yyw0 9)82mqfilda8v:wpuahthe box when it started its slide?

  14.07: Starting from rest, a cart unis3kj yih)6) otformly accelerates to a speed of 7.60 m/s in a time3ikho jy))st6 of 3.00 s. Through what distance does the cart move in this time?

  14.16: A toy car initially moves ta m0ju (m ;*g)8molxwky s1r3vo 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. s8y3 umkm;g w j1lro()xmva0*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 60.0 cm/s. Five seconds lat-px+9j : vibjy06 4k- iu9 nbp6ojdpwber, the car is moving at 40.0 cm/s to the left. The total displacemeno y6ipjbw6: +0dji--b 9v 9pnujkx4pbt 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 +64euaq(i0r0ueq6a ou -x qwcwith constant 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 initj+scq,r(n a.tially is moving upward while in free fall. Which one of the following choices best represents the direction of the object’s acceleration duringsc(naq+ j.r ,t its flight?

  13.26: An object moving only to t)rfbf1,n6-o nwnm fharh9)tjyc p9 (2he right completes 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 velojot )chhny(26p,mr f9abrnw 1f9 ) fn-city 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 completes a 20.0 second trip with an ave6/9 :fa 2bervca8v clmrage 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 const va:cb2 c98l/evr6 famant 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 droppq hf3o9c(p;qcf*) bt aed from rest. A ball is launched straight downward with an initial sfo t cfqqcbh(3)a9; p*peed 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 a robot. The roqrlu-moff v0x+ 2wl,3 bot accelw, 3v 0xrlmu2qf-olf+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 1,junvtxarj +,;wvmo 7 w/ s;xposition of the ball 0.70 s afterwsu axr,;/v+nj17vm, twx o;j 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 maximum height it obtains during its flight?