94.01: Starting from rest, object 1 falls freely 1tqg fp 9u-y.fu9d n9yfor 4.0 seconds, and object 2 falls uu-9pntyqyd9f.f 19 g freely for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a f6ftf m6cv d.,dinal speed of 20.0 m/s in a time of 15.0 s. How far does the car travel, m d6c.6tvdff during this time?

  94.03: A ball is thr z z:o5mrbdp7;ix9;ujown off a high cliff with no horizontal velocity. It lands 6.0 s :;od mib zu97rp5zj x;later with 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 ac6w-d g; uwi w4j34nwvagui9/ pcelerating vertically upward 6aip9w u/v uinwd34; g-w4wgjat $10\;m/s^2$. 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 downward6pnk*7;t hf3 njd6 id9 ; uie8llljz9js at 27 m/s at one instant. If it continues to fall, one second later jp* zf3ji 6n9lil 8khtu9l6ed;n 7j;dthe object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and accelerates a11n pcqc +ea.g j*a.qdt $0.80\;m/s^2$ 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 buildinqls;8- ,hfrrj 5h2j gug strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the b;hsh52jjr g q-8l,ufr uilding is approximately:

  97.09: At a certain time, an object in free fall has velocity 4.0 m/s in the upwq .l h151o/qskfy6e r7bv/hwvard direction. What is the approximate velr/k 7wh/sbfveq 511yl6 .hovqocity of the object one second later?

  98.14: How long mustl .unb g dlfjm6zx2;0)kst r.. a $2.5\;m/s^2$ 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 movqa hf zoevtni00:j)+ 7ing downward at 18 m/s. If it continues to fal0v t q0:z+oi)efjna7 hl, 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 uus d7 nmi9g20xntil reaching the groun0 7gxmis2 d9und. What was the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is lauo 0):7gxzkko mnched straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. When the x)z7m o0kog k: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 upward so thb.ewp xv) sczb/ ,uxr15go *u.at it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximately how much time does it take the ball to reach the maximum vwbgc )/.eb*1rxup 5, xoszu. height from its launch?

  98.31: An object sliding down a )l7f trhqe oz1:fx62o1mu.n6 yu 1v6crontt*n inclined plane has speed 0.40 m/s two seconds after it b 6rotlfr tnco )yqef1u1*to:m7x6 hv1n6.2uzegins 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 to mg/i coq 9kf4;-zu/flye2 /xkwer with a speed of 15 m/s. Coin II is dropped (zero initial speed) from the top of the towelo4 ;z/-x2ekf /c mqgyik/ u9fr 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 wlqpru0j29 1gi ith twice the initial speed of another, how much higher will it be at 1 pqlg0i 9ru2jits apex?

  02.30: A box falls to the yz8qa cyh+6 ;fground from a delivery truck traveling at 30 m/s. After hitting the road, it slides 45 meters to reshc+f qy 68;ayzt. How long does it take the box to come to rest?

  03.29: An object is thrown upwards with a velocg0l2d,p9p( wxjv+f i nity of 30 m/s near the surface of the earth. After two seconds what would be the direction of the displace2iv f+ w9dl0(pnxg pj,ment, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different m .y6cgry .sxq0ass (1m, 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respcy60 .yr.xqsgectively). 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 are launched str zuzcf6yyog. ju7bv:9yaj 0q d,6y7. laight upward with identical linear momentum. Object 1 has mass M and reaches a maximum. j,azl buc d6 o07vq.zyyg:f7jyuy96 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 bo)f1 o+ns hz1yaunces on 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 beoy)1z1shanf+ tween 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 free fall achieved its minim /yrwq9xg++qx11ol.r znoap: u1i sw/um speed during flight. If that minimum speed was 1/9sq1g11ouqo :/w+ xy rz+ipwa xlrn.5.0 m/s, what was the projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped frkzp;9ziuw2t nm9kw xg3.+v5 xom a high vertical cliff. The collision of the pebble with the ground below is seen 1.5xz9;k+nzg9t2w 3ux5.pv kwi m0 seconds after the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three studentsch4 lf2vk3jx / were arguing about the height of a parking garage. One student suggested that to determine the height of the garage, they simply had to d4k/2fxv j 3chlrop 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 along a straight line. Its initial position isu41tyzix 5ii4+ klpo8yomeq1o a 9j58 x0 = -5 meters and it is moving awayy 88io4pk1ul9xo y 5+4t1m5ziijaoq e 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 downward fjrb7 / mx7+i km0eya4vgq85vs 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) nekmv4gfv7mi r +7jbyx / a850eqcessary 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 nwjg3;8id41t+ga ewdsecond later another rock, twice as massiv+gw3 ia14ddjet8g ; wne as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0yolmf 7(vt7a/v 4zejyf (v+ .e.5 m/s along a track. The cart comes to rest after traveling 1 m. The experiment is repeated on the 7f oye.f+zmv a(vt4l jv( 7/yesame 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 m/s along a track. The cart cn6o swd5 t4b+womes 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 travel before coming to +tdwns45bo6w rest?

  08.03: A dog starts from rest and runs in a s9j:kp) 4zix fo,e6)h ic+bsrctraight line with a constant acceleratijopx i+ )cchz: k4ib9 s6ef),ron 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 resistanxx-g*b8hnri;w *d / pcom s-s4ce from a height h abovecxn *48ipbhs o r*m-wdsxg- /; 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 0.5h?

  10.38: Two objects both k 3aqu+;l/64 akrac olmove 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 tim;+roal3k lu/ k46qc aae T by Object 2 to that traveled by Object 1?

  12.26: An object is thrown0cxc.:hzd 4m m( jn2kwr :yb ac9dmsll*96i1a horizontally with speed 10.0 m/s from a height H above the ground. The object reaches the ground with a c0 hl:s:a k(d24r9*d16 ac jmyzm .9binlwcxmspeed 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 rek3f1kw1j*l6be *omc emains in free fall until it returns to its initial launfjmkke oebw 3*16c* l1ch point. Which 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 drtuoo /3n n3zra7)m2qhopped into free fall. Through how many meters does the object fall during the firs nr3qna 2mto)/ uz7ho3t 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat su8 jfb ;wnlx mbka:ku.1c m.ez9g 2,z6drface in a time of 12.0 s. What was the initial speed of the box whenmngk bzb, el d .u;c6m2:zf.x8 w1k9aj it started its slide?

  14.07: Starting from rest, a cart uniformly acceleriavv;2,j -r0orasx s- ates to a speed of 7.60 m/s in a v r0;a-ovxj,r-ai2s stime 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 second;b4.g1 o a s5; 4i+r bu9gqcghwivyc*ws later, the car is moving at 40.0 cm/s to the left. The total displacement of the car during ;yw9c4;gv*.so4 +hug5wab b1ciq r i gthis 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 initially moves to the right at 60.0 cm/s. Five seconds lad 1suhm- dx/kycc5xj:/; 7 rabter, 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 accelx /cyc: 5 /k7hm-s1aub d;jdrxeration of the car during the five second motion?

  14.33: An object moves with constant acceleration stjaq/ +xh 1 0nkl/dyu(karting 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 initw u)61-.b6pz*o rrh/f fq fq*dtmrb+sially is moving upward while in free fall. Which one of the following choices best represents the direction of the object’s acceleration during its fli)bqo+t6 zr fh6bdmu -wp/r q f1f.s**rght?

  13.26: An object moving only to the right completes a 20.0 second fz8j:t/du1s*fiwkrx t18 )qvv ad 1;ytrip 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 convx )ti /u11f8z akdf8q:jwy;d t*1rvs stant 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 seconjcp1 x.lg3- pfd 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 magnitu-gj.1pcpf x l3de 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 rocbb1m *isa 6aazz:; y-uk is dropped from rest. A ball is launc:am;a-* yb 6 ubiaz1zshed 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 a robot. The sa6d yc:5uhkbeo.ms /er- y/ h/5sod4robot accelerates at s/5 -/os5:r uebe./ym4 dhcdhy6soak$8.50\;m/s^2$ 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 ball 0at:r; xr48e0u1jcwkiek 3-px.70 s after release is the sa0c-r 1kuj8 xwi;k3:r4tepa xe me 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?