94.01: Starting from ri1k1h ;cfgftvoc13(wk -yy29y w( ifzest, object 1 falls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compared to object 1 v g9 cft(i11z1o fyk(wi- 3wfk;cyh2y, object 2 falls:

  94.02: A car starts from rest and uniformly accelera.lmh9ii8f/ yrp +0bie tes to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car tremyfbr i l./+ip90i8 havel during this time?

  94.03: A ball is thrown off a high clifsq6utl m3i18f f with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What3sqfli u6 1m8t was the initial velocity of the ball?

  95.27: A rocket near the surface of the h9xbuzyky5 rd0h4,-dearth is accelerating vertically upward h5 dryu,z4yh0 dx 9-kbat $10\;m/s^2$. 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 movedug.wgcu/:4ds/( n eing downwards at 27 m/s at one instant. If it continues to fall, one second u( ucedew://d4s g ng.later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and accbx:c 4n68b gxielerates 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 tw4b.xd9ssu 1 b1mevtbx.b:x.b;s ip* he ground with a speed of 30 m/s. Assume air resistance can be ignored. The heigibbsv . ubb.4119; bxwx:t* ssemxdp .ht of the building is approximately:

  97.09: At a certain time, an object in freeo1,qdmvd7 62y bu pwy/pnl ,r) fall has velocity 4.0 m/s in the upward direction. What is the approximatemdbw p)rq,n1 y7lp2,ou 6/yvd velocity of the object one second later?

  98.14: How long must od(a; tf5bym8a $2.5\;m/s^2$ 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 cilof0ax e pj73oi. -6moving downward at 18 m/s. If it continues to fall,ei.x-i6j co 0la fpo37 two seconds later the object would be moving with a speed of

  17.02: A small object is released from rest and falls freely0bz j.emg*i(k for 4.00 s until reaching the ground. What was the height above the ground from which the obje. 0g*(ij mezkbct was released?

  11.06: A ball of mass =0.100 kg is launched straight upward su kborsqg)f*,6a0hu8wb z o.bos6s)8o that it rises to a maximum 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 for6) uwfab0s*zsrou )6,kob88o h q.bgsce acting on the ball?
D 10.0 N
E 12.0 N

  11.07: A ball of mass =0.100 kg is launf uv ,0iyiwi o;0y7j.cched straight upward so that it rises to a maximum height of 12.yfy.o0; 70iijwc iu v,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 0.40 l+hmwz ; ;-quhm/s two seconds after it begins -; z+qh u;mhwlto slide. 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 /+ncopn p1)* (.t pbeobrp0ww a speed of 15 m/s. Coin II is dropped (zero initial speed) from the top * c+p1 (0rtoonp).n ww/bppebof 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 upwards witwy2 r abxykx-x*.1fi 2s8x2gth twice the initial speed of another, how much higher will it be at itsktyfw x*sig r x2xax2y-2 8b1. apex?

  02.30: A box falls to the ground from a delivery tru2s6 nhs 6bdxa.sl98srck traveling at 30 m/s. After hitting the road, it slides 45 meters to rest9 2shrs n6lsdas8xb6.. How long does it take the box to come to rest?

  03.29: An object is thrown upwards with a velocity of 30 m/s near the surface of(01 ip:dtf2tpgxgjx,cz ;0c l the earth. After two seconds what would be the direction of the displacement, velocity and accelerationx z (jpx0dg0tc;lg:, p ftci21?
displacement velocity acceleration

  04.10: Three stones of different majh or1s /k((eg-wf4jlss (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 stone. Assume air resistance is negljro4k(j/w (l-sf1 hgeigible.

  10.25: Two point objects are launched straight upward with ident vc3m ifb y1u/79tra4rical linear momentum. Object 1 ht3u9/b7c 4amiyfrrv1as 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;dgav9f 4fqu / 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 the seco9v/f fdqg a4u;nd and third bounce?

  16.21: At 1.94 s after launch, a projectile in free fall ach0-k8- bg,fbb z eoxvg/fa .tk;ieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch frof gba-tb8-v, ;/.0f kzbeo xkgm the horizontal?

  05.02: A pebble is dropped fx58*pvz1i i2:sdmpz lrom a high vertical cliff. The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With zp:1 sz 5 l8xiv*d2ipmwhat speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three student3g )eot0vcu d6pln90ds were arguing about the 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, appr6gulop 9030 d)vtcndeoximately how tall is the parking garage?

  05.07: A snail is movingxsp u2zx6x1 1x 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 position, initial velocityp261sx x1xx zu and acceleration, respectively, are

  04.38: A small point-like object is pulle4co39 h(mdjkb+m g4 xn/xd;dhlhi e,)d downwards by gravity (down the plane of the pagmj x3d io +4e/ (hmlhkgd;)hxbd94cn ,e) 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 dropped fro+t5tlb g;k 6mtm the top of a tall tower. Half a second later another rock, twice as massive as the first, tt5g6 +l;kmbtis dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. Th dx/ tij0qc;+me cart comes to rest after traveling 1 /+x0;imtq cjd 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)amq50dbxj ,x * q1myvt 6(vsp m/s along a track. The cart comes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is initially movin)qqyvx*5 dj1mmst ,ax(0vbp6 g 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 const4wr-cqp s-dt8n7u3yr 9t uo9jant acceleration o9jtptc4q -d 3uu- 7 9nyorw8rsf 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 res e ,5)5n,filxz4fzsdky15jx d t falls without 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 distance of 0.5i,zef5lxz s4, yfxn k51d)dj5 h?

  10.38: Two objects bfk227n5)h*vei p b x.fcfs7yy oth move and uniformly accelerate to the right. At time t=0,the objects are at the same initial position. Object 1 has initia2 yh7f*x )cv7 2knpyffbe.s5il 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 by Object 1?

  12.26: An object is thrown horizontally with speed 10.0 m/s from a height H:zh vv6)5mym0jc udt5x,i0l k above the grou uvzckxmy5mtiv 5lj006,d) h:nd. 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 resistance.

  13.10: An object is thrown straight upward. The object remains in free fall unt-2lxn5(ell f6z 1tvj kil it returns to its initial launch point. Wh 2(5lz lkvjnfx 61elt-ich 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. Through how many meters does the q/o) s sz0u,xxo1:xdz+czr)u6 4uklrobject fallx:)+c )ulxz4sd1o0x uqzs6ro, kuz r/ during the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m xd(had(m, mczb9 /)ud1kztb di-vn-( to rest across a flat surface in a time of 12.0 s. What was the initial speed ofd(zb1ux9hmbv k- ,id ((da)/ nzd- cmt the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed of 7.60 m/s i s*y.q/ecery( u5rn n,ayo/i ,t3+ec un a time of 3.00 s. Thre/oun,es3 y qer/,ru(ca nt.5yc*+ yiough what distance does the cart move in this time?

  14.16: A toy car initially moves to the right at :e j(p-(.7 lxzcmtuwml ;uvv )60.0 cm/s. Five seconds later, the car is moving at 40.0 cm/s to the left. The total -cwl7vz);lpe( mx(.vmj:t u udisplacement 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 iniw ss(x02oe6 uzrphifb**jqha70-*j 3 xr2l abtially 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 aver pbsxwr2 (j0z6a0qh*eux2s-**ibaj r7 ol hf3age acceleration of the car during the five second motion?

  14.33: An object moves with conccszxj *z 4q75stant 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 movnln ztm ,33ut*ing upward while in free fall. Which one of the following choices best represents the direc n *3mul3nt,zttion of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0 secohi/ uf zez6+x;nd trip in two stages, I and II. The average speed of the entire trip is 10.0 m/s. For stage I, t z;+uix/z6 hefhe 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 movinc)mfdmp6q5vv ls 1 7p:l0tr1/j9l plcg along 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 09)tsdc7 mp1qllpp 1mljc6rv5/flv:of 6.0 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 si(zd qbo.8nmvor5afb0 w,3f (mall rock is dropped from rest. A ball is launched straight downward with an initiadrwb5 imofvf8 0zaob,. (n (3ql 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 straightsbjq(t :85weogr ,i)q road, a self-driving car races with a robot. The robot accelerates r bj5og,etw):q8qs i(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 positiogbfm:h(5lv - gi7hhjg-j;+sd5 yi7 ndn 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 vertical position that is one-half of the maximum height it obtains during its flight dmyn7g- lg-hj ;hh:f5ig ijd(+ v57bs?