94.01: Starting from rest, object 1 falls freely for 4.0 bsv pomn t ,/p7sp9y6*seconds, and object 2 falls 7 vp bp,/y mspno96t*sfreely for 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*;dbjqw480y tm*bd+r rqcg9h.0 m/s in a time of 15.0 s. How far does the car travel during this time?*+4drrgwt 0b 9j *8dhcmqb;qy

  94.03: A ball is thrown off a high cliff w 36ask o *q, +fb-x/tlthusl*mith no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/o ,l63t+ ua*shb xqmlk*-/ fsts. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the ,t2ehcr 2 set9earth is accelerating vertically upward at rette, s 2ch29$10\;m/s^2$. 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 downw;be4s9 kn (4vkqp*:h ab y(lkoards at 27 m/s at one instant. If it :q4ky*;9n4s l (ekv(kapb hbo continues to fall, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and ac9.f6na o8f3w : wyjweyyti2 f;celerates 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 wl -sy2 rh0cv /ga0f 9fiav**jthe top of a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the buwvry0gv a-cf*af*2 l/ih90js ilding is approximately:

  97.09: At a certain time, an object in0q g)upam1t-xn5nd/ x free fall has velocity 4.0 m/s in the upward direction. What is the approximate velocity ofm xunpdxg5 a1n)0t q-/ the object one second later?

  98.14: How long musti uxv m4he)aykynr*4vz.y0n: ; 0i*tw 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 b2yb e8xkw.hz4(db5 zufbci,94 y k:b be moving downward at 18 m/s. If it continues to fall, two seconds later the object would be moving with a speedzbfi( ybwc:dk8e4 4b59k bh2. ub,zyx of

  17.02: A small object is released from rest and )(bced 6,c zwwfalls freely for 4.00 s until reaching the ground. What was the heighc6,z(c)d wbew t above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward so tri 4y atq0ir,8d4; v/m3vjxeuhat 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 magnid jmv 8;ia t,043verr/iuqy4 xtude 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 launch*pom r oh7d95e97d n0yixdu4oed straight upward so that it rises to a roemh uxd*50pn 9doyo9d 7i4 7maximum 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 height from its launch?

  98.31: An object sli(;u fs/5lz qoeding down an inclined plane has speed 0.40 m/s two seconds after it begins to slide. Approximately how far does it travel in three seco oslf;e(5zuq/ nds?

  98.40: Coin I is thrown upward f l.r kix-o5bj )j-9knarom the top of a 100-m tower with a speed of 15 m/s. Coi.-k-l b)jrjo5xki n9a n II is dropped (zero initial speed) from the 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 twice+gl0m3 4 ;j sx8qnqzxxdr(lh1 the initial speed of another, howm0+s3q(1 ;qll dzghxxrj8x4n much higher will it be at its apex?

  02.30: A box falls to the ground from a delivery truck traveliz+q;r2dnywy;d 2y-nzvc iw0 0ng at 30 m/s. After hittid+ yrywzq0-n ; ;incv2z2y0wdng the road, it slides 45 meters to rest. How long does it take the box to come to rest?

  03.29: An object is thrown upwards with a veluxt- xagb* 8ol )*sy, (:jos7zc6h v x(aj5wvsocity of 30 m/s near the surface of the earth. After two seconds what would be the directiona(gs6)sybco *vjvt8o-wlsx5uzjx,: ( 7 x ha* of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown ver ( zz.crpyoy/v.hrx40tically upward with differe0y /(vy c.r.zro x4zhpnt 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 are launchedw/dn f ys: g+oeh*jv6c/sy9 j8 straight upward with identical linear momentum. Object 1 has mass M and reaches a maximum height H above +9hywy fsjjen/gv8:/* 6 cdsothe 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 ballk x4m,9aqdoh* bounces 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 between the first and second boun9,o4xqha md*k ce 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 f)drmb.4o 7taqj m3c e;all achieved its minimum speed during flight. If that minimum speed w4c7o3.m mda beqj tr;)as 15.0 m/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 t /vkiit5u u)y3he pebble with the ground below is seen 1.50 seconds after the pebble iu tiy3)v5/ui ks dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about theml+z43 dyle 5iwnq;0q 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 w30l 54ed+; mizylwqqnas 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along a straigj9.f0o7pwl;j6 wqyct3,bo icht 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, respectiv0wco 3.yfo97j6 t bpi,j cw;qlely, are

  04.38: A small point-like object is pulled downwards by gravity (down the pqj6fbkmo(r ge426 an*lane 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) necessary for the object to be released frjfrq k*6b6e4 2nmg a(oom 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 second f6+m(gb1 e 2cpn-gsmh later another rock, twice as massive as the first, is dropped. Ignoring air2b+1snm m-peg( 6hgf c resistance,

  06.18: A cart is initially moving at 0.5 m/s along a trabtw87yu 7gr n2o;c+beck. The cart comes to rest after traveling 1 m. The experiment is repeated on the bn2g 7 +rbet7;8uyocw 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 m):aan 8w:a u ql-pzq.p/s along a track. The cart comes to rest after traveling 1 m. The experiment is repeated on the same track, but now thp q)qw zlua .p8a:a:-ne 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 a straight line with a /ocvwcw 8ct/1constant accelerawv1c8w /t/o cction 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 rgu0- xu9pf k4rest 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 rgk4 -u u0x9fpdistance of 0.5h?

  10.38: Two objects both move and uniformly accelerat ur++ey+t duse97 tk+pe 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 ie+d79 puut+se yr+kt+ s 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 witha/;mjdrjk/l45 m znl l0b6)fe speed 10.0 m/s from a height H above the ground. The object reaches the ground w/j0 db6enalj4ml) f rlk5;z/mith 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 mm89dvodi wl,ltt9x+q c06; yupward. The object remains in free fall until it returns to its initial launch point. Which one of the tdl9d+;l8xcw 0o ,6mqm9tviyfollowing 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.x9ux 8ets66ioq - zn1i Through how many meters does the objectx6ui zi9qn-teos18x6 fall during the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat wmb ly0e(c:hl1q2c9t*wswm9(rp 7r hsurface in a time of 12.0 s. What was t7ws t erm9hbl( 9h0l1w(ywq:c2c* rpmhe initial speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed of n*1- l.see phtervh6 /7.60 m/s in a time of 3.00 s. Through what distance doe1.entevhsel/*p rh 6-s the cart move in this time?

  14.16: A toy car initiallynr*+ro zasdhl /k0ysz1 +jx53 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 + 0r1y+zx onj35/zr k*lss dahof 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.:j8xjsva tya3/g ;hnx7h87t.tm(m d k 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 8t7m8 3amkat yx h.s:7t(hgn dvjxj/;the magnitude of the average acceleration of the car during the five second motion?

  14.33: An object moves dzer 9 ec035 mxxze*i4with 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. Which one of thz j3c92h :qoxoe following choices best represents the direction of 3z2qhcox o:j9 the object’s acceleration during its flight?

  13.26: An object moving oc36u x/:crzh*cvw7f evznj; )nly to the right completes 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 acceleration must the object have durin /ce3x*f r;z6uzj7c)h :wcvv ng the 8.0 seconds of stage II?

  15.32: An object moving along a line coa*zzw5gh 06l)f5rnhh mpletes 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 constan 5h wl0n5) *zhar6fghzt 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, a small rock is dropped from rest. A bmeoe u2rc /ghi/2 +:m uv;7.c 5mormwyall 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 spemi/ c527.cgwer ;uv2/y u+o o:rmmm heed of the ball relative to the rock?

  16.36: On a straight road, a self-driving car races withgfy+y+f.w 4kgvlu(iv;cvx 9 p+7; qly a robot. The robot accelerawl+ 9vkv7gf+ .qyx iyy c;;gl(v4fu+ptes 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 upwis9lpig 8g .-ward. The vertical position of the ball 0.70 s after release is the same as its vertical position 4.10 s g 9-.pgwilis8after 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?