94.01: Starting from rest, object 1 fallsyhh5j *sah:6hxr6+9wlvgtv k:c /cn 3 freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compared to object 1, object 2sth v3kyv:9c+ 5 6ng/*hrx:c ha6jw lh falls:

  94.02: A car starts from rest and uniformly accelerates to a final speed qi-d)7m:. xfe5rny zlof 20.0 m/s in a time of 15.0 s. How far does the car travel during this timefe-dnq ).z 57xrly :mi?

  94.03: A ball is thrown off a vr 3-h rp/*.yb dm-vb d12pqtkhigh cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial veloctr *mb1 .vyq3h-br-kvp d/d2pity of the ball?

  95.27: A rocket near the surface of the eartf/d6yh2.v cn lh is accelerating vertically upward a2yd6nv /lcf .ht $10\;m/s^2$. 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 2 zh)y w u(4sskeywks521 b/uf/7 m/s at one instant. If it continuey4fkuw/beh( /ksu12 zy ss)w5s to fall, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from resbl /m 7thqn2.gt 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 buildingon.drc/iu(v,-s iytu x7 l08 x strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the building is approximateli / rtn(vc xlys .7uuo8-,d0ixy:

  97.09: At a certain time, an oqchg y5;01sq jbject in free fall has velocity 4.0 m/s in the upward direction. What is the approxima gqqy;5 0js1chte velocity of the object one second later?

  98.14: How long must a wd.vc4ibvge.thl5;.+ vy yeq1.m2 o5f3 uwfx$2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling obj.nbq,xik5g ,r ect is found to be moving downward at 18 m/s. If it cxrg.k qib, n5,ontinues to fall, 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 s upr eq:;y3)6qarh l b0pntil reaching the ground. What was the height above the ground from which the objecthpyb6 q a3);el0 p:rqr was released?

  11.06: A ball of mass =0.100 kg is launched straighg) a;xsp/-6wgvwx c a *(e(jpdt upward so that it rises to a maxid6agg v*c jw(x pe swx;(-p)/amum 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 net force acting on the ball?
D 10.0 N
E 12.0 N

  11.07: A ball of mass =0.1rhqa7f- g,ify 59tbj000 kg is launched straight upward so that it rises to a maximum height of 12.0 m abo-9qjhtg 70y,i a bffr5ve 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 d ne6 eh,jf5e,f 4pugj3own an inclined plane has speed 0.40 m/s two seconds after it bp,gf j463u e,5hefenj egins to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m towerqw.pau*--bdt)gt9g c with a speed of 15 m/s. Coin II is dropped (zero initial speed) from the top of the tower 2.0 s later. Assume g gt*- bwgcu)tp a-dq 9.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 diredv/e,mnb*k83l ep3) daat jv0 ctly upwards with twice the initial speed of another,jv/3e*p) ,b0 adalnd 8kv3tem how much higher will it be at its apex?

  02.30: A box falls to the ground from a delivery truck travel okt 5nmsgoo 6g8nez8)4:t 5dying at 30 m/s. After hitting the roadst8teo6o)gm55: o 4gn zyknd8, 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 velo2ef6vi y; 8mwkcity of 30 m/s near the surface of the earth. After two seconds what would iw2fke v86; ymbe the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown v(yexw fquq da ;si qmvb5q;9 cen5*/-7ertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass ax*9qq75qmqieb( ;y cenv;-ufdsa5w / nd 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 hu1 o3(7nv7bgosb hv9upward with identical linear momentum. ub71oh9gv 73s(on hbvObject 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 point in terms of H ?

  04.28: A rubber ball bounces on the ground as shown. After each bounce, the 6 xoc z,y*hp2bball 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 cb* 6o,z2xphy would be the time between the second and third bounce?

  16.21: At 1.94 s after launch, a proj7dnu94;s*zwmh2 jp m:erf; ceectile in free fall achieved 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 hor4d e:zp; wu2f; snmje7rm*h9 cizontal?

  05.02: A pebble is dropped from a 8ji:e+; kh:rt/ xybelhigh vertical cliff. The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. W:/ k:ety;bxl+eh ri8jith what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about tdxq r2l) f4h/ohe 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 ball to fall was 1.4 seconds, approximately fd2/x) roqh4l how tall is the parking garage?

  05.07: A snail is moving along a straight line. Its initial position*we.yd8 7jsnf95ib wv 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 veloc wj8dv.*n 7bfy9e5wsi ity and acceleration, respectively, are

  04.38: A small point-like object is pulled 6.45dri3g9tre; v9 rc uzyu +4mrfxeldownwards 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 amount of time (T) necessary for the object to be released from rest at point Ag9rz el xu;.rrrtu6ye+ cv3944f m di5 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 3 mqkxs-t1j +wa tall tower. Half a second later another rock, twice as massive as the first, is dropqsx m 31kwj+t-ped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m+hsqm/ uq98btmd 1k*q/s along a track. The cart comes to re q1d mmqbs/qt8*9 +hkust 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 coming to rest?

  07.11: A cart is initially mojyg-kt *57p hrving at 0.5 m/s along a track. The cart comes to rest after traveling 1 m. The experiment is repeated on the same track, but npt* k-7y5hrgj ow 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 with a constant accu f nnmy)i8 /y-nbnlfe4(t 1y3xoec7 ,elerab 3 /),l(8einom47eynyffncn- utyx1tion 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 falloh,4fqy x 7or)y0;dbj s without air resistance from a height h above the ground. If the ball falls the first dist)hjbd7y;qoo40 r,fy xance 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 accelerq1d 19k;kf wb+ evsjqeg)c.8fate 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 ve je;bf9kg+ dcq.wv 1) 8fe1kqslocity 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 7s-erqdc:5n; kop6v u 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 represek5e;c-uoqsvrn 6d:p7 nts the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The objy;odpf tzcf *f197n:jzr89 rnect remains in free fall until it returns to its initial launch point. Which one of the following graphs cou7 n ;nr8fty9:j*zrdffc9 zpo1ld 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 di33hy6* +bjrbba e9 cboes the object fall dury3+ci 6b9a *rb3bbejh ing the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 i pv (ar77+ scl-yu8bpm to rest across a flat surface in a time of 12.0 s. What was the initial speed of the bo+iy ap7spvblr-c7 (u8 x when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerate2 or7xbma6ha9s to a speed of 7.60 m/s in a time h mxoa7ar692bof 3.00 s. Through what distance does the cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five secoyloe4e 7:/d0s dwktj0 r*ne6unds 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 :47*r0ynddwkt/ 0jlsu6eeo e of the car during the five second motion?

  14.17: A toy car initially moves ,yxc.oxkh2nn2s)xi2to 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)x kyc2i2n .son2xhx, second motion?

  14.33: An object moves with constlc0 3-0hj uj:a,ne sltd hp-)l/zu u8lant 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 upwardyr .0j( vzwy.77 x:peiwex 6 .xm6hves while in free fall. Which one of the following choices best represents the directio: 7y.vyew 7ee06x rxmw6v px.i.shzj(n of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0 second tri:kvq)qx*r:e5:*/ c9uc jr* hyap0r 2kkfff jnp 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 forufeqrr / *hx:) q0*y:c a* p5nfjkf9kvrjc:k2 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 wit bemd9z/cu35bk:r 3lf h 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 corecbz 9b:5 3f/l3u mdknstant 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 s5a vw;n/yc-btmall rock is dropped from rest. A ball is launchet/ vb-y5c; wand 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, what is the speed of the ball relative to the rock?

  16.36: On a straight road, a self-driving car races with g*b1, wfpl h/sa robot. The robot accelerates /f *wspghb,1 lat $8.50\;m/s^2$ 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 vertinzumt*v sdog*,25m o.cal 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 object first at a , .dsvo *5zo2*nmtmguvertical position that is one-half of the maximum height it obtains during its flight?