94.01: Starting from rest, object 1 falls freely for 4.0 seconds, and object )hr 7,p:uipqaxprjzz / 514xi2 falls freely for 8.0 seconds. Compared to object 1ip x75,z/:x)zpai j1 h4prurq , object 2 falls:

  94.02: A car starts from restw6 mujp)zi8;b and uniformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car travzbjw u;p86mi) el during this time?

  94.03: A ball is thrown off a high cliff with no horizontal velocity.n.oe6fa d 97fq It lands 6.0 s later with a velocity of 40 m/s. What was the initial q9.ff naeod76velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerating vertically upwabmy/tw3 d;.f +cagtt4 rd at+ ty4/ga d .ctm3w;bft $10\;m/s^2$. 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 dowt.1 tx k)6myuanwards at 27 m/s at one instant. If it c1ax )yt 6uktm.ontinues to fall, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and acceler*p.dcmf/) nywgljqu0o h s68.xhkn 68ates 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 to:/tu:x.u u .coedp:b4j ugxqw99e, wr p of a building strikes the ground with a speed of 30 m/s. cg: ue:xjq wt,edou94wu/pr:.xb9 . u Assume air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an obr) nnioi(6 .yupwa1 ;sject in free fall has velocity 4.0 m/s in the upward direction. What is thu(yp1 n 6 a)wrin.ios;e approximate velocity of the object one second later?

  98.14: How long must a m (yxps n y20h4b5gw2r$2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling obje+h6x6pykw,gfy/jjs.d7 4 dpat)h2 a sct is found to be moving downward at 18 m/s. If it continues tja6 2jg 4hhd, pktsfpw+y7 sad6y.x/)o fall, two seconds later the object would be moving with a speed of

  17.02: A small object is released from rest and fallszu:4 -.ilsebnlrg6/t*ujko7g y1wxt +ks 2 j 1 freely for 4.00 s until reaching the ground. What was the height above the ground from which the object was released? o*t xtk-ug1b 1ue2siz/jlkw 7 j:ln g6ys.+r4

  11.06: A ball of mass =0.100 kg is launched straight upward so that it ri9kt -3ajaaxh2a /3zequo*l 6 hses to a maximum height of 12.0 m above the launch point/e3ahaoa 3qhjtz62*l- 9a ukx. Ignore air 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 . cso ney90 :fhjfsp+nz/ .rd5kg is launched straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximately how much time does 5f./ ons z .n+rc fjs:ydehp90it take the ball to reach the maximum height from its launch?

  98.31: An object sliding down an inclined plane has speed 0.40 m/s two seconds sa6c3m, 1d z7tnl 3nx0e)osxa after it begins to slide. Approximately how far does i,x3 6)lon1am dn 0 ats73eczxst travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower with a spg 1o9(6(vs i4b7csb aibgwjbt r l,vz-y3zm50eed of 15 m/s. Coin II is dropped (zero initial speed) from the top of thz,5sab-r1cwl((90iyg4b j z s73bbvmg otvi6 e 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 sp94lg xc+gpx0ni; r0a iiji,g 4eed of another, how much higher will it be 04+g0c4rin,xlxi ; apiggji9 at its apex?

  02.30: A box falls to the ground from a delivery truck travelis7k 6 bs-y2sxn8s7 oexng at 30 m/s. Afte -6 sssxn7byk72o8es xr hitting the 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 vel 8fsx6/jshh i bm8vk+5ocity of 30 m/s near the surface of the earth. After two seconds what would be the direction of the displacement, velocix6b m8 f+si/8 vhkjsh5ty and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are throv;dk e bw3y(j;wn vertically upward 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 sw(bkyv j ;;d3etone. Assume air resistance is negligible.

  10.25: Two point objects are launched straight upw4a0u vllw4 /epard 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, what is its maximul0vu4law /p 4em attained height above the launch point in terms of H ?

  04.28: A rubber ball bobtm* uvn:og: 3g)3ajye a5 ef4unces 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, whuevo :me33*by)na afj5g4t:gat would be the time between the second and third bounce?

  16.21: At 1.94 s after launch, a projectile in xvromvphp,q* kh ,np 6,6te97free fall achieved its minimum speed duh76 p*v 6h xq,,netv prm,p9koring flight. If that 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 vertical cliff. uqz f(;hy.x 3rThe 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 y .ru3fz xh(q;resistance.

  06.03: Three students were arguing about the height o lp(x+5f 6f*)ne-o1hrezsyyt f 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 ball to fall was 1.4 seconds, ysx(+1 ty flh 6)z5oepe*rfn-approximately how tall is the parking garage?

  05.07: A snail is movim8(w dy mvnf*/ vgdn5)ng along a straight 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 posi)d*(vnfy wmd5mg8 n/v tion, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravity (downi83nvwm svhu18 /wz9kcifs-8y nxh ., the plane of the page) but / ,y m nzcs.x3-nk8hu91 8whsii8vfvw 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 dropped from the top of a tabemi-h 1*3, kphor: abll tower. Half a second later another rock, twice as massive as the fir h*ob-: ipmke,b3arh1st, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track;.rh)xa 5 cphapp)m.y. The cart comes to rest after t .haa5p; ym)xp c.prh)raveling 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. The cart c l4:enftt z6559fjeblvdd n.d8+8nr domes to rest after traveling 1 m. The experiment is repeated on the same track, but n6 8zv.n f 8trd lbf5j n+t49de5ddl:enow 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 lin;q v75pc m5fvme with a constant acceleratiopmv5 7v;cq 5fmn 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 without9 h q7dui6**q 1ok5spyvzs,kn air resistance from a height h above the ground. If the ball falls the first distance 0.5h in a time t, how much time is required to fall the remaining dist7*5 6hqydo9qpikvzkun s,*1 sance of 0.5h?

  10.38: Two objects both move and uniformly accel xf j0 q*bqjf*z(f*yo)erate to the right. At time t=0,the objects are at the same initial position. Object 1 has initial speed twice that*0qjjx( yzo*)fffb*q 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 speed 10.0 m/s from a height H auuazys1j f8-7xr(d efii +ex(*: p5 kobove the ground. The object reaches tujx f+ z7*k dpis(oy-:a8fi5 e1er( xuhe 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 resistance.

  13.10: An object is thrown straight upward. The mf gle4nu*)2 bobject remains in free fall until it returns to its initial launch point. Which one of the following graphs could represent the vel2lbnf* um4ge)ocity 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 obv c7w ou0lc 8cht 9/k5qlx;3 )ktbba;wject fall during the first bcv) ;k09kwottcbal xw7l;85/ qu3ch 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to res1g +/f a /i)4ybrxzlalt across a flat surface in a time of 12.0 s. Whla 41 gfrybizx//al+)at was the initial speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly a).)o vil;fx/x fjxky6 ccelerates to a speed of 7.60 m/s in a time of 3.o.k/lxjiyf 6fxv x ));00 s. Through what distance does the cart move in this time?

  14.16: A toy car initially moves to pnf ,e8*-fd8hz k)sdwthe right at 60.0 cm/s. Five seconds later, the car isdhn8 -sp kz)ef8 *,wfd 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 during the five second motion?

  14.17: A toy car initially moves to the righi t0/jgj)nir sv4ndi ot 7m3:(t 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 folld(740 stnivr:/3g)injoj tm i owing 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 iinw, y05pkfi1s7sb) 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 inp*y;pb ocd- .:e-y pop free fall. Which one of the following choices best represents o ;dpcp po *b-.pye-y:the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right complet m g9l:vf-ga6ies 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 ag 6vmg-l:i 9fa 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 completes a 20.0 second trip withr8xnj +g)v0sf an average speed of 10.0 m/s in two stages. During stage 1, the object moves with a constant velocity of 6jf+gn) 0r8xsv.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 high cliff, a small rock m wbh9 -45f a*uffle5ris 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 the ball has fallen 28.0 m further than the initially dropped rock, 5 fm*-fl5hu4 aefrb w9what is the speed of the ball relative to the rock?

  16.36: On a straight road +b7nn -qqbdsed65d.y, a self-driving car races with a robot. The robot acceldsqy -e+ dbnn5bd6 .7qerates 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 position of th vc6*64 o,kns f,j*dfymcx0rse ball 0.70 s after relffc x6s 6,cd *,ovj4*smr0 nkyease 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?