94.01: Starting from rest, object 1 falls freely for 4.0 secl0m*9bz9fk m42 jmny ponds, and object 2 falls freely for 8.0 seconds. Cofymlz *k9m90j2 bnpm4mpared to object 1, object 2 falls:

  94.02: A car starts rkt2 91zcgsow2ji 0i6from rest and uniformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car travel during th gz1c 2ij6itk0ro2 ws9is time?

  94.03: A ball is thrown off a hnt/mm 8n g729sj uoq+kigh cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What kn+2 s7o9mg8n m/utq jwas the initial velocity of the ball?

  95.27: A rocket near th :uzu21n**ne a7txqpig/9ge p e surface of the earth is accelerating vertically upward aqg2 *uupet/ p9*1 e:7 xzignant $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling body ocft/d4p zq-p6r8y* m is found 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 dowyr/648 tfopp -qmzd*cnward velocity closest to:

  95.39: A car starts from rest ancr0/w (ylt *ljd 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 building strh0 wykyf:dn1et )mjiwk,: z4 ,ikes the ground with a speed of 30 m/s. Assume air resistanc:fkymn04 yhtwe,)wi: 1z ,djk e can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in *a vjc -u w3 ntf0gchm;. ;o* 56v9muxfq6norgfree fall has velocity 4.0 m/s in the upward direction. What is *35 g;qrtho mu6 u o*-m0a6cn.wfj vvn9xgfc; the approximate velocity of the object one second later?

  98.14: How long must az pqk8 (oikghd fvfv g:2j0763 $2.5\;m/s^2$ 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 pu:wfwj-gssg yq.o-lq 5 ogs+98w:;h 18 m/s. If it continues to fall, two seconds law:s 8.-hggswq p+ls; wyo- u9j5 qf:goter the object would be moving with a speed of

  17.02: A small object is rele kf,rqnea, s;n-wrw16ased from rest and falls freely for 4.00 s until reaching the ground. What was the hef w6aw ;re,rnk q1n-,sight above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward so that it 2negm9v / a4 sfny0 xrlc60hf9rises to a manc/ 4nr0lgesh fm ya269f9 0vxximum 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 =0.100 kg is launched straight upwa8;m*nahi pp,, wu7rnu-te os*rd so that it rises to a maximum height o u,8;tnw ip,has-n pu7e*rm *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 from its launch?

  98.31: An object sliding down an inclined plane has speed 0.4 tfr 4e3)-cwy6jiws i gd/l.y.0 m/s two seconds after it begins to slide. Approximately how far does it travel in three secor.wi3y)ldwys-c /4. jgetf i 6nds?

  98.40: Coin I is thrown upward from the top of a 100-m tower with a speed of-;azfh9 ut1yf1x 7*u tux69n qwv*nvn 15 m/s. Coin II is dropped (zero initial speed) from the 9x11nanf *u*u;uz- f 67vvwhtxnqy 9ttop 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 upn.zv*r0uu,bv wards with twice the initial speed of another, how much higher will it be ,nuur 0b v*z.vat its apex?

  02.30: A box falls to the ground from a delivery truck8t5lbuz p jp,n0+(hi k traveling at 30 m/s. After hitting theiputj 0+k 5h,bnzp8 l( road, it slides 45 meters to rest. How long does it take the box to come to rest?

  03.29: An object is xr*pui1r-8wuhrv ; 2 ythrown upwards with a velocity of 30 m/s near the surface of the earth. After two seconds what would be tyu 1 hrvu*-2rwix8;p rhe direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different 6uu 71sp6qpsamass (1m, 2m& 3m) are thrown 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 stp6su u6q1 7aspone. Assume air resistance is negligible.

  10.25: Two point objects are launched straight upward wig32a0q3 c zaehi;lb 8dfxa 1d6th identical linear momentum. O6xc ba0gl1fdd;3 haiza2 qe83bject 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 o5v+2aw gu(q )f8d2lrf ffll/nn 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 would be the time between ) 2gl+lrnaqwf(f2d luffv58 / the second and third bounce?

  16.21: At 1.94 s after launch, a projectile in fret4)m wxczexetq (z6; r,n0*vdixu ; 3ce fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial auxd; xetc(cz ,ewzm*)q i;6nrx 3v40tngle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. The collision of the,xvoo1a)dmu1 s 9s2x 5ws vop8 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 resistance.1v28o xps9 sa ,dx1vwoo5 smu)

  06.03: Three students were arguing about the height of a parking gjxbqhbg12wd;p 7 :j;parage. 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 how tadg;2b :hbjp jx;q7pw1ll is the parking garage?

  05.07: A snail is moving along a straight line. Its initial position is x0 ej tj7c/ zpr6yn1jll-; yp 0/d= -5 cy/-r e06jptljl7 dn py1 jz;/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, are

  04.38: A small point-like object is pulled downwards by gravity0. ,jmekd f5;uys)l iy (down the plane of the page) but is constra0u;l5f y, jim syd).keined 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 tall tower. Half a seth. ;bnexym5t d5)l( jcond later another rock, twice as massive a5 d)yeth;nx mt(j5. bls the first, is dropped. Ignoring air resistance,

  06.18: A cart is initiri9sz- uq 6s1hally moving 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, bur 9su6qzih1s-t 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 zb4h9 03l9ri g-aowzbcomes to rest after traveling 1 m. The experiment is repeated on the same track, but now 3gl4h ozrw99bbz a-0i 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 a)cxho8dw4fs8 2ilcu (mh 5t9tnd runs in a straight line with a constant acceleratdti82c xm4htf(9l8u)h s 5wocion 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 wi fn/a0h/+-zm3jf qbbcthout air resistance from a height h above the ground. If the ball fall nf+babc q/hjf3-mz/0s 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 t*d -r gv x l*b-3:ntziv 3trkl5vd1lk+he 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, i+d*nl5kz1 * krgtlr: v3txv-v 3d b-lthe 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 10v z o)0rtyh(8h.qppt+ 6-gndc .0 m/s from a height H above the ground. The object reaches the ground with a spertvt-yz 6gh noh cqpp 0(d8+.)ed 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 object remains in freed2 boee4d18p5 *- kfe qsec,mbr3xm 7d fall until it returns to its initial launch point. Which one of the following graphs could represent the velocity of the object as a function of time during ie e3km8sfcp2 bm - *eb,erd5qod4x 1d7ts flight?

  14.03: An object is dropped into free fall. Through how many meters doex (z3xs, v0faj6 3zsdis the object fall during the first 3.00 seconds of (,s sixjdzv fx az3630flight?

  15.02: A box uniformly slides 7.50+ta p6 ics c.hwhfet7p4 ..z5u m to rest across a flat surface in a time of 12.0 s. t4+6htwce.5u.appi hz.f7c sWhat was the initial speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed of 7.60 /zp(q;2d v/itbfdp 4em/s in a time/e v4 dpfd;(/qtzbpi2 of 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 secondsri :nv:)o:tcm later, the car is moving at 40.0 cm/s to the left. The total displacement of the car during this tnr:to :i:)mc vime 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 right at 60.0 v81jmy9d(p p kwx(+-cbz)afv 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 thk8zv ppd(wajy 1)cvbxm +f-(9e average acceleration of the car during the five second motion?

  14.33: An object moves with constant acceleration sxiucffv p 9 2g40u nxy1bq-ry5xm-95ltarting 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 1,: w) x t2si:srm1awb xn8firone of the following choices best represents the direction of the object’s acceleration during its flight?)wxfbm:1 srs :28 watin,ix r1

  13.26: An object moving only to the right completes a 20.0 second trip ik veaa) l/+0qnn two stages, I and II. The average speed of the entire trip is 10.0 m/s. ak/ql a 0e+)vnFor 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 alo qmne*nmf03njm89vkhcg5jv:a (or: )ng a line completes 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 velocity of 6.0 m/s to the right for 12.0v5o:n) ag v0k* r9 jhejn3qfm8(:mncm 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 is dropped from rest. A ball is zls 3ag y7az:(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 droppea gzay :z3sl(7d rock, what is the speed of the ball relative to the rock?

  16.36: On a straight road, a self-driving car wan*lu(eb4y(rr yt,9ef7 m f0races with a robot. The robot acceleratyrftbyl ( ea7u, 0r *n4(9ewmfes 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 posu d dwn2po),ib.j*- waition of the ball 0.70 s after release is the same as wn di2,ud-pabw)o.*j 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?