94.01: Starting from rest, object 1 falls freely for 4.0 sech,* n c zd-2w/c9v hlo:w6jikconds, and object 2 falls freely for 8.0 n ,cc2/diwk:clvw-h6*j ozh9 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a fi1elsap: u9f-tl 0hwqrl/3 wfb,)db )wnal speed of 20.0 m/s in a time of 15. 1hwl:/rffq ,bu-eb)0ld)apsw93w tl0 s. How far does the car travel during this time?

  94.03: A ball is thrown off a high cliff with no horizontal velocity. It lands 6a7p) rbe7wvq4 h yeslb3vudqr71))a5 .0 s later with a vel7ue5 v3 v7adr)rp)q ybsha 4 b)1lweq7ocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is acceu d,9a-kpo 4bj hkah1rou.b:6lerating vertically upward hj,46:9p bo aok-rah1 duku .bat $10\;m/s^2$. 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 df3r zdd6*oie0m cbw/ .e5)ohyownwards at 27 m/s at one instant. If it continues to fall, one secw3i*hec )r6d0 o.d/m5 f bzyoeond later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and accelerates at+hq p +w8rxvi(d)xi(p $0.80\;m/s^2$ 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 the ground wi6 +n:kh fti8mgql :9hvth a speed of 3mlinfv96kh+ht : :qg80 m/s. Assume air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free fall has velocity 4.*zd jq.:vc3*wb -;lxp zcb+ru 0 m/s in the upwar-+xbuc* .3cz*r vbz ;jlp qd:wd direction. What is the approximate velocity of the object one second later?

  98.14: How long must ar+swagk: ;/;h q fi/jg $2.5\;m/s^2$ 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 18q/z t)j qa45d .gcal6q m/s. If it continues to fall, two seconds later the object wo.lt6 q4qdqzj5/ga ) aculd be moving with a speed of

  17.02: A small object is released from rest and falls freely for 4.00 s y5wi6 3g atsrjklc,3 i7fa9)f until reaching the ground. What was the heigfi )ajg 93 sw7 t5a,k6i3rclyfht above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg+ r (l)ojci/xl(h*.xoiuz pu. is launched straight upward so that it rises to a maximum heiuo( xlzo luih*ci+j).rp.x/(ght 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 la) 2w+/cntcr5y6r1tdsiuzaquq3r5i ,unched straight upward so that it rises to a maximum height of 12.0 m abov6aw)5r5ziuuyq+1r,cqtn/cri 23d t se 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 0.40 m/s two seconds ahfh5m o;o8dc4fter it begins to 48o5hd co m;fhslide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower with a speewz0bd.3 r8j1l t vlj6uk* *b(js-voyfd of 15 m/s. Coin II is dropped (zero initial speed) from the top of the tower 2.0 s later. Assume kobu .8d0f zj3wlvy(*1 j-lbr*st jv6g 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 is*ocddk7oin9) 7 bi)m nitial speed of another, how much higher will it be at its adn ikibmo7cs 9d)*)o7pex?

  02.30: A box falls to the ground from a delivery trrqqbbnz 4rm 84ax.(sa 6g8 mm+uck traveling at 30 m/s. After hitting the road, it slid4 rmr+qa.qnmmsb z88xb4g6a(es 45 meters to rest. How long does it take the box to come to rest?

  03.29: An object is thrown upwards with a velocity of 30 m/d;hs1ij+ boz ,mt)0ad8sh+s ds near the surface of the earth. After two seconds what would be the direction of ),8h zm0 sd1thsi+;add+sjobthe displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown verogt9r )yv :bkkz5 f ;gy*;7pxrtically upward with different velocities (1v, 2v& 3v respectively). The diagram indicates the mass and velocity of each stone. Rank from high to low the ;gyo9)t 5fp:*b zkyr 7r;kxg vmaximum height of each stone. Assume air resistance is negligible.

  10.25: Two point objects are launched straight upward with identica; cxg od665xyal 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 maximum attained height above the launch point in terms of 5x6 cdg 6axyo;H ?

  04.28: A rubber ball bounces on the ground as shown. After each b.2x +xq cbar;lounce, the ball reaches one-half the height of the bounce before q;x.ab l2cr+x 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 fre- sl7 d7zqk75g8tr otj75hb7fsiwir,) vf9 p be fall achieved its minimum speed during flight. If that minimum speed was 15.0 m)s57zp77,frok w r8qtjbvt7il9d7h f -5sbig/s, what was the projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. The collision of the pebbj dl:yej8p -gkx20ce8e (mz*cle with the ground below is seen 1.50 seconds after the pebzxl 08jcmgd-je :ce(2pk* e8yble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height of a parking garage. Oneq7tjx8g.h yd69z:0, wty uw uv student g 7zt.dux9w8,whuy0 j:q6t yv 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 tall is the parking garage?

  05.07: A snail is moving alondru 5 4rhi(m +1n(ixfq4d)iu ng 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 position, initial velocity and acceleration, rei4inn(rrhd )5i+ uu qm(dx41 fspectively, are

  04.38: A small point-like object is pulled dnz8zw22 (z*n p hzm:siownwards 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) nece28 nz*2zi:zs (wn zmphssary 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 toaedn ;zxr/9ybq:6wl9bv p3 f2 wer. Half a second later another rock, twice as massive as the first, is dropped. Igno;dlvb:p6b wfr9/3x2y9a qe nzring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. Tzuwm7*vez17vvq7a3 o2q, qpo he cart comes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is iv7 qzmazpq2,73 1o*qouvvew 7 nitially moving at 1 m/s. How far does the cart travel before coming to rest?

  07.11: A cart is initially 3lj8 dinds m-j(g 6r0cmoving at 0.5 m/s along a track. The cart comes to rest after traveling 1 m. The experidg dm(-j08ncj l ir63sment 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?

  08.03: A dog starts from rest and runs in o u hcs+6o*a7lf .* ivqmvg1f(a straight line with a constant accelerasvhfuom 1of(+l*qg 7c* 6.vaition 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 without air resist c bto1/xkn; 46 jrqhkwu23(qrk**k ukance from a height h above the ground. If the ball falls the first distance 0.5h in a time t, kkorkt;xrj*34c61khn*k b/u q w2q u (how much time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both mo 8zr(/dksn, ;:lubm*ebu+ hsive and uniformly 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 objects is the same. What is the ratio of the distance traveled in this time T by Object 2 to that traveled ke;:shnmi*u+usr (zlb bd,8/by Object 1?

  12.26: An object is thrown horizontally with speed 10.0 m/s from a height H abowmht:):e./;d m tabo a.zal k4ve the ground. The object reaches the ground with a speed of 20.0 m/s. Which one of the following choices best represen:e tdmo.4at;a)h:b/. l zakw mts 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 free feurpy ck6(f65all 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(c 6kuerpyf5 6 its flight?

  14.03: An object is dropped is;)t,fqfpo2b(,jzdur)h u - qnto free fall. Through how many meters does the object fall during the first 3.00 seconds ,-fhu,pt zsq 2 )(r)uboqj;dfof flight?

  15.02: A box uniformly slides 7.50 m to rest across a 7eupt:spr0h208onv z flat surface in a time of 12.0 s. What was the initial speed o0hnoz0ps tvur7: p 2e8f the box when it started its slide?

  14.07: Starting from rest, qcnr6l ,c f i6qa:pg60a cart uniformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the cart move in rnl6p6a, fqig: q 60ccthis time?

  14.16: A toy car initially moves to 2 p pscj:ptu1ny0zw vqni,:;6the 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 av0tjus nwqn :2piyppv1 c; ,z6:erage velocity of the car during the five second motion?

  14.17: A toy car initially moves *o k5a2ts nqx w8b: *7ybhh,smto 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 sa2* xhwmq ,hnos tk7*y8bb: s5econd motion?

  14.33: An object moves wi/:mr nah5h1u art3xf *h9phv. th 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 initially is moving o39x2 mf ;3o3z oswd1h /evyfoupward while in free fall. Which one of the following choices best re3 x2o1/zo;mwyfho3esf9 dv3o presents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right complet jg;y -/ 8m9um7bj fd y*,ilik4k8pdypes 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 velocity of 6.0 m/s for 12.0 seconds. What constant accig*ib;8pdyu ydl47k , p/9k-m fmy8jjeleration must the object have during the 8.0 seconds of stage II?

  15.32: An object moving along a line completes a 20.0 the,h4byop1 qxut,))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 12.0 seconds. What constant magnitudepey) btqx o,)h,1t h4u acceleration directed to the left must the object have during the 8.0 seconds of stage 2?

  13.33: At the top of a.x0ocw v23w a zi+ldh)h :6nlx high cliff, a small rock is 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 bll6 nh dhwcazx.wx2 :v)3+o0iall 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 rvhklp5* fok c-ts9 g0:obot. The robot acceleratk lpt9hv:-sgk*f 0 co5es 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 the ballj;myhe gcc o8cp rx7sx7e;)(jpic/ ;: 0.70 s after release is the same as its vertical position 4.10 s after its release. At what time i7yx )(sex 7g8o;c;ep pj/hcrcm:;cjis the object first at a vertical position that is one-half of the maximum height it obtains during its flight?