94.01: Starting from rest, object 1 falls 6y,po5vj t .ocmk4pv1 freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Comp15c4 6v .j,m ptpyokovared to object 1, object 2 falls:

  94.02: A car starts from rest and u. yy-*x+m1dh8u q rq8epti1vgniformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car travel during this m.1t*uidgqp yq rv1-8+x8e hytime?

  94.03: A ball is thrown off a high cliff with no horizontalws evyqo77 x1goz2 2h0in+ l1e velocity. It lands 6.0 s later with a velocity of 40 m/s. What was esv0wo og7+22n qhzxi1y17 elthe initial velocity of the ball?

  95.27: A rocket near the surface of the earth is acceleratnj8 n.mbeu8xt0l bus3)- pq)jing vertically upward atjtq x m8)n-e) s8b.jbulu03 pn $10\;m/s^2$. 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 onr-.xk +chux 2ae instant. If it cont x.2ac-xr+ khuinues to fall, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and s 2x1edv i3m03i) z7sn6gzkfiaccelerates 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 strikes theirq0 jk6.lyth6 *:jdx ground with a speed of 30 m/s. Assume air resistance can be ighd0 qyxj t*:.6 klij6rnored. The height of the building is approximately:

  97.09: At a certain time, an object i*vlew qx6/*awgy39 i(d o7j jon free fall has velocity 4.0 m/s in the upward direction. What g 3/(do67le x iw9oj*jw*y qvais the approximate velocity of the object one second later?

  98.14: How long mustkw(0syr:wt 8dd)l t5o a $2.5\;m/s^2$ 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 downward3*ise3dfk0k ovk 6 jq/ qb4c5r nqan3* at 18 m/s. If it continues to falke q0cqd 353nkfij*ra os v3/nq b*6k4l, two seconds later the object would be moving with a speed of

  17.02: A small object is released from rest 9 )0uf *1r e7a4kru+pwte9h-zowzn mk 69am ghand falls freely for 4.00 s until reaching tfkm 99tghr)m4ek7a u9e wz1+h6rn* wz 0-oauphe ground. What was the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched w7s-vrsaz5x1straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore ai-rv1s5sx7 zawr resistance. When 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 straight upward )h ,01stno/tz-19zqwunk3wd u ti9o cso that it rises to a maximum 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 frohodnz03t,ut)9tn -wo 9w 1/zi1qc sk um its launch?

  98.31: An object sliding down an inclined plane has speed 0.40 m/s two seco o 1*n,p/rq ;iytu4jjonds afterpo,io qrujtn;/ 4 1*yj it begins to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is throwncd xp -7797jqs/ .dxz j2mqgpl upward from the top of a 100-m tower with a speed of 15 m/s. Coin Ijmx .c7-j2s9gqpl77x p / dzqdI is dropped (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 upward z k2+ds5*k,cpw c9tjgs with twice the initial speed of another, how much higher will it be at it*jc2spk5 tg9wdc+, zks apex?

  02.30: A box falls to the groundv; gpk,j-y(r m8xufo 9 from a delivery truck traveling at 30 m/s. After hitting the road, it slides 45f 8u9kpmo r-j;xg,vy ( meters to rest. How long does it take the box to come to rest?

  03.29: An object is thrown kcjfl6 w83ew7upwards with a velocity of 30 m/s near the surface of the earth. After two seconds what would be the direct klfe wj7368wcion of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown ver(q 57muzs 22cuka-lg utically upward with different velocities (1v, 2v& 3v respectively). The diagram im(cqkag72sl2uu5 -uzndicates 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 wit jp*(a7h2 sxkph identical linear momentum. Object 1 has masshp apjx7*( k2s 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 point in terms of H ?

  04.28: A rubber ball bouncescvk((cai*euu) oh t5 *uoxz2+ on the ground as shown. After each bounce, 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, what woulu*cvo2i*oz(h tx(ck) +uaeu 5d be the time between the second and third bounce?

  16.21: At 1.94 s after launch, a projectile iy;e lh1hha j 0 c*gs4u,nrs,7tn free fall achieved its minimum speed during flight. If thal,sju;y4 re hg 7*1ha,n 0stcht minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vert5(8rsv0yzd tu3 z kub5ical cliff. The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what speeus8 5tz5rky0db 3z( uvd did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about thanc c66:(lsagkt - jhvl.q 81se 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 ballgvh 86 6s1q lntac.:las-ck(j to fall was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along a straight line. Its initia ;nd fg-vz wz*ge;r8f41 6x.o3lkt fxpl position is x0 = -5 mete;zvx. ;pe1ng r gfdk8f 4fo3lz6xt-*wrs 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, are

  04.38: A small point-like object is pulled downwards by gravity (down the u9pvt 8g/,.hwq d3 bbxo8zvb0g 7 fvc;plane of the page)p8wof;./98, qucbvg7xht3vbbzvg d 0 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 dro;p )zz/cks,u opped from the top of a tall tower. Half a second later another rock, twice as massive as the first, is dropp)ou ,pcz/ sk;zed. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The l m0o)i shuib*9 4/ndke+(yzzcart 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. Howhklim0 eo/d*ub zs4yn+(9z)i far does the cart travel before coming to rest?

  07.11: A cart is initially moving at 0.5 mux/m5qrd u33d /s along a track. The cart comes to rest after traveling 1 m. The experiment is repeated od5 rm/ux3u 3dqn the same track, but 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 and runs in a straight line sbegj6z c9b,d-c d *5 pov5px)with a constant accelera 5jdcx,oezvg-9s*cb6)p5 db ption 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 pf l90pboot-: rest falls without air resistance from a height h above the ground. If the ball falls the first op-bfp t 0l:9odistance 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 zduyyai:*dv- /e4,1z4iavwr 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 timevzyid,4w de/1au*a: 4-zr yvi 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 speed 10nzug 0;wbp*y/ .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 flight to the ground? Ignore air resistan/wzu 0g*;p ynbce.

  13.10: An object is thrown stra+4 ; a+coh7x 1lrf:kvcq9ih oeight upward. The object remains in free fall until it returns to its initi+r9hl +xc ;fe4ov1h:qaki o c7al 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. Through0 rt+,b 7d)ki u7erms0lri+f -pct(cz p7nt2l how many meters does the object fall)imsr i0treb 7+c(nc,lp+td7-7u z tklr0pf2 during the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest ac1nzy p5o8r kcwif -2x;z 1iz;xross a flat surface in a time of 12.0 s. What was the initial speed ypr iz ;;5 cz-1x8n12xfwk izoof the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelel6pur5gjcd5z ; -7fv r2;zapz rates to a speed of 7.60 m/s in d;j ;gz6lrvcpp5zf- uazr5 27 a time of 3.00 s. Through what distance does the cart move in this time?

  14.16: A toy car initially moves t/dl* zfg4 ltu2:q d.gvl,zj 5to 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 th:j 5.uz2tg*dlz/qv4gdl flt ,e magnitude of the average velocity of the car during the five second motion?

  14.17: A toy car initialb2 g.zc8ip6yqly 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 acceleration of the car during the five segz 8i.b62pcqycond motion?

  14.33: An object moves with constant accelerationv66tz zno,.y l ze,.5fjyrr 3j 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 while in free fall. Which one o73bggvr2) qn hf the fov 2bq grg3hn)7llowing choices best represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0 secv5l/8e f.a w.dhwpdx3h 8 h6fbond 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/hd8wd 865hf l aef3./w bv.phxs 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 tri)pz m2bb::pc m2h,b4g t/blytp 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 dtzgp mb,/yt2)4:l:bbhp b m c2irected 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 dro-sy/4nzypbd*8s.fa +o k .nu opped 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 dropbnun. sa8ood+y .sz-y4k *p/f ped. 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-d0c i;rzd (xc)vn.d /4 vqv n+peug)fx-riving car races with a robot. The robot accelg/ufc.n cn0;rq) v vix+p) dd -(evxz4erates 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.y2 op*enz) tm(c/of. x The vertical position 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 objo(xm poet/ yz.*f 2cn)ect first at a vertical position that is one-half of the maximum height it obtains during its flight?