94.01: Starting from rest, object 1 falls freely for 4.0 seconds, and object 2 f 6 x9fnkt1rhj;alls freely for trkj;6xn1 f9h 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final speed of 20.0+ofte *nbv14 h m/s in a time of 15.bhv o+ 4*1efnt0 s. How far does the car travel during this time?

  94.03: A ball is thrown off a high cliffq9tjr 8 jrhn;rcq 493x with no horizontal velocity. It lands 6.0 s later witqt;8jxcq j rhn499r3rh a velocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is accelera.dv1swh )vf renp+8 .kting vertically upward atkrhw .p vn.dfv+)s81e $10\;m/s^2$. 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 downwar5;kcgzs+ ras d;hd6tnxym )5*ds at 27 m/s at one instant. If it continues to fall, one second later the object would be moving with a downward velocity cldk;+x;c)dansr*zy st6g h 5m5osest to:

  95.39: A car starts from rest a9 jxq k47q+zalt68q)cyk.(so 2xq 5ymxuc5x qnd 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 dl k6wp66 ei(i2b oen7xropped from the top of a building strikes the ground with a speed of 30 m/s. Assume air resistance can be iobwx6n66i72i (pkele gnored. The height of the building is approximately:

  97.09: At a certain time, an / mf -c8qy,cqairl 1jlg; +wc5vgtv4 *object in free fall has velocity 4.0 m/s in the upward directia+g4wgc ;5v*qm1 fq yv j8,c c-lrlti/on. What is the approximate velocity of the object one second later?

  98.14: How long must aid k1/0lwbuxbx2d5 );z t8fxum+s5h o $2.5\;m/s^2$ 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 18 m/s. /qh )wei*-wg h: 9o;jcneq-5tetd;pv If it continuesnhp*he o g 9-q5-dw)jqvt /c ei:w;;et 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 until rebh.6 p;drtc4 )0zemt oaching the ground. What was the height above the grzb) 6.ctmp ter4odh0; ound from which the object was released?

  11.06: A ball of mass =0.tst;/vkxha lk9 1uy04100 kg is launched straight upward so that it rises to a maximum height of 12.0 m abov thuayk0st1/klx4 ;9ve 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+esu3 ofin5v/h a /:s n2dcnh) kg is launched straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approxih:/hs f e3n5inos+/u 2d)ca vnmately how much time does it take the ball to reach the maximum height from its launch?

  98.31: An object sliding 1,r ktnn*94wkrbj fd7down an inclined plane has speed 0.40 m/s two seconds after it begins to slide. Approximate 7rknn j*kb,fwt 149drly how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m f;upj;3 on g( l)q75j6tbard itower with a speed of 15 m/s. Coin II is dropped (zero initial speed) from therg qfj p7d jot;5)(6bl nu3i;a top 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 upwards with ta+og0 gq km2-h m,yf*uwice the initial speed of another, how much higher wi*gkhu q0+o-mf a2,ymgll it be at its apex?

  02.30: A box falls to the ground from a delf dkgkd-/04gzs* n0 (ol d5-ub pi5uqsivery truck traveling at 30 m/s. After hitting the road, it slides 45 metfd(-po lb iz5u 405ns -sug/* ddk0gkqers to rest. How long does it take the box to come to rest?

  03.29: An object is thrown upwards wicpd/p::;9fqxvnw+6ju k f) zmth a velocity of 30 m/s near the surface of the earth. Aw; n/cqj6m +zp: vff kd:uxp)9fter two seconds what would be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3mmp2qln 8 d-zsxko5 3 ,y3ma,wr) are thrown vertically upward wit3zla2m,8 -rnsox w3p qmkdy,5 h 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 negligible.

  10.25: Two point objects a,ak2if7l-1qn gix h 2p cvmd m2 .dv-zb8y(;bvre launched straight upward with identical linear momentum. Object 1 has mass M and reaches a m(lg-dpnzmc avq-i1 .2 b2dhx7vkfyb28 miv,;aximum 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 ec ,da:ab 5g3dvach bounce, the ball reaches one-half the height of d35gac b,d:avthe 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 second and third bounce?

  16.21: At 1.94 s after launch, a9ifiosfw55on m-rk+q o.vk).u xi(l* projectile 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 horizonf5( nrf.-kiku +li5m.w*)oxo o vqs9ital?

  05.02: A pebble is dropped from a high vers(xm lkq6,t*f4gp 8lvma,y 9ltical cliff. The collision of the pebble with the ground below is seen 1.50 sf pylmt46k,*g,xm s qv8 l9a(leconds after the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguinge-0mt2e7 qn0mp kg;:,m jsmg x 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;mksep j-g2:gm0e7xm, n t qm0 time for the ball to fall was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving alongzhqu m tw:m(78 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, respectively, 7z hm8tuwq (m:are

  04.38: A small point-like object is pulled downwa fj.2ax8hf:k b)uof1 frds 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) necessar)1kfu j o8fff:ha.2x by 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 tdaj.c )k6v-rtower. Half a second later another rock, twice as massive as the first, is dropped 6k.)d-tra vcj. Ignoring air resistance,

  06.18: A cart is initialjy6m x0v0;zw dly 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, but now t60y; dzvj0 xwmhe 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*y7ghy(e d lwj;8zx9b1lb.wg dj i94comes to rest 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 travezbbj c(d 4g;9ijlw*9gyew. lyx178 dh l before coming to rest?

  08.03: A dog starts from rest anzqxq :0 m4ob-,afcy;qd runs in a straight line with a constant acceleryam c4qqq xf;,z:-0b oation 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 airdo/:kvx(ff ksse40,aa , 2 rar resistance from a height h above the ground. If the ball falls the first distance 0.5h in 2eo,afr (4as0k , v/a: srxdfka time t, how much time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accel+i31 , 1pa ese62i kq7uwcbogherate to the right. At time t=0,the objects are at the same initial w,b7go q1+ 3ice6iua h spek21position. 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 by Object 1?

  12.26: An object is thrown horizontally with speed 10.0dby ht38*vt r7 m/s from a height H above the ground. The object reaches the ground with a speed of 20.0 m/s. Which oneb8r3*7vtyhtd 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*.2d;hcwblrn) jxbhkq0.n b- il it returns to its initial launch point. Which one of the following graphs could represent the velocity of the object as a functiodc .* x wkhh.0bj2qln)nr- ;bbn of time during its flight?

  14.03: An object is dropped into free fall. Through how many meters does y4hu(vvt5c33ny bb e4 the object fall during the first 3.00 43yb uh43vtbn 5ce vy(seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat js0 d og9ar6b7w 7oqg0ov4y,zsurface in a time of 12.0 s. djasygg6v,bq z0o 790 4ow r7oWhat was the initial speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a spiw / :zbrdxt76t (5ycxeed of 7.60 m/s in a time of 3.00 s. Through what di(xwytb:xz7r5t 6d/i c stance does the cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five seconds later+ ihynhi /i)l+, 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 wherehh l ni/+iy+i) 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 cm/4r*2 (k*g.xmjq +7fjntcvns zs. 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 bf(vs x7zr*.*jgt2jcqn m +nk 4est represents the magnitude of the average acceleration of the car during the five second motion?

  14.33: An object moves with 51urv3l fmw s3e)pna.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 upward while in free fall. Whi.s;t gwsj3o o4ch one of the following choices best represents the directisgjt s34wo; o.on of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0 second trip in tmmmak qo pyl25.v;+4owo stages, I and II. The average speed of the entire trip is 10.0 m/s. For stage I, the object moves with a vko.;2 mm4my+opla5q 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 seco ;c;ez-qyb) c:ot vhn:nd trip with an average speed of 10.0 m/s in two stages. During stage 1, t;- cztv)cy :no heq;b:he object moves with a constant velocity 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, a4c hp h1h mp--3q2vo.reepa d- 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 ball has fallen 28.0 m further than the initially dropped rock, what is the speed of thp.e om1-3- cph4dqev- rh2pahe ball relative to the rock?

  16.36: On a straight road, a ezc4xt m+(g .vself-driving car races with a robot. The robot accel+em(tx v.4zgcerates 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 positionpwe3j/2xq pf +/f 44cwukbvrh;be2 /n 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 //p+ ;bn4 ef/w4r2ku23p v jhfqwxceba vertical position that is one-half of the maximum height it obtains during its flight?