94.01: Starting from rest, object 1 falls 0we)r.m ,ylkf s(1mlgfreely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. rfwe 0)s(g,k1.yml lmCompared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final spee: lihyg;bt 7(id of 20.0 m/s in a time of 15.0 s. How far does the car travel during thyi7 bti:g(h l;is time?

  94.03: A ball is thrown off a high cliff with no horizontal velocity. It land4 ; dmxcfaz. c9cc1gp0s 6.0 s later with a velocity of 40 m/s. What was the initiaad cmgc14 p9.cfz; cx0l velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerating ve4ek 6 twfhsrm.1jk oi:t2)jx0rtically upward )2s16. 4fkjwrtki h0 o:tjmexat $10\;m/s^2$. 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 downwards at 27 m/s at one inx)/ 2un8oujau g:y2z istant. If it continues to fall, one second later the object would be moving with a downward uuy2 )ixu:zgoj/a n28velocity closest to:

  95.39: A car starts from rest and accelera lt,7 usw8uu;stes 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 buila g)vjb,1c0 otding strikes the ground with a speed of 30 m/s. A,ajt0b 1vo) cgssume 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 4.0 m/s in the upr5mh8bp2k9tuu0u s crd lt-m+ ( +h8wbward direction. What is h858mdtt0+cr(hu s lk+rbup-9 wum b 2the approximate velocity of the object one second later?

  98.14: How long must -agm7s .dtma .t 5.ebva $2.5\;m/s^2$ 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 ks8h64xc-gmrhqk t c 0/g.t;lmoving downward at 18 m/s. If it continues to fall, two seconds later the object would be0crm.tq ; 4sh lh-xtcg86gkk/ moving with a speed of

  17.02: A small object is rel jsfi( a28r1ijeased from rest and falls freely for 4.00 s until reaching the ground. What was the height above the ground from which the object was (8 2fijar1jis released?

  11.06: A ball of mass =0.100 kg is launched straight upward sop )uam4r;5ygnefog/0v9 j7ua that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. When the ball reaches its maximum /yu vgm g o f075uen9aj4ap);rheight, 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 e.y.lt,sd8v xs-:- o dzu a3lustraight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resiu:lv ey.s ta3dxz8 ,od--u .lsstance. 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 plagnw u/55c1 khxne has speed 0.40 m/s two seconds after it begins to slide. Approximately how fhgw1 xnuk/ 5c5ar does it travel in three seconds?

  98.40: Coin I is thrown upward from the h2 e,ljx ) *vhkh7xjn5top of a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero init,ljh 2 jkh7v h5xne)x*ial 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 the indp q3v/oqi v9ook/+mwz qp0 84itial speed of another, how much higher will im8 dvkpv/03zq qo +49owoq/ipt be at its apex?

  02.30: A box falls to the ground from a delivery truck trave2p/xnf+,jqea,f 72 yrxidz w 4ling at 30 m/s. After hitting the roa,qnz+2 2xxw id/yj7p ef a4fr,d, 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 velocity of 30 m/s near the s - c7j5jj5yxgsurface of the earth. After two seconds what would be the directi j-jxys5jc5 7gon of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown verticale 0bvhd973gn a. 4yzkyly upward with different velocities (1v, 2v& 3v respectively). The diagram indic.zbvh3gneak 0y dy794ates 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 laz7bk f0ku 4c9-kln q/qunched straight upward with identical linear momentum. Object 1 has mass M and reaches a maximum height H above7bck-nlu0 qf9z k4/qk 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 show pgg(w;j iwe*8n. 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 bounce was 1 second, what would be the ti(*p8w;wegijg me between the second and third bounce?

  16.21: At 1.94 s aftexob c ,l-2(zy9tbaq eg,g8 x6qr launch, a 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 la8 2,be6bql gz-qy,t xox c(9gaunch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. The cq cf (4:9f(c(cx ftp)tr hs1c3kix0rsollision of the pebble with the ground below is seen 1.50 seconds after0sx xcrf:)pt(thf3c 194ci( sc qrf (k the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height ofi,yim3cpt+i s)gr-v / 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 +/3viygisric, tp)- mthe 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 is x0qp l erq4sy+)+ = -5 meters and it is moving away from the origin and slowing down. In this coordinate system, the signs of the initial posi)+lq4sy q rpe+tion, initial velocity and acceleration, respectively, are

  04.38: A small point-l5o8i5f t bk*wlvr augxgy/,/(ike object is pulled downwards 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 lon(xgbu,5iyt //l *5rgkvfwo 8 agest 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 droppeceyjtpy .ob: fwewv*(; 6,q 0ed from the top of a tall tower. Half a second later another rock, twice as massive as the first, is dropped. Ignof:ywq* pbe6ev;.0yeo t, j (wcring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The cart comkcebht**-i5u j +dwt/es 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 r5 i w*bcu+dtjh/ k*te-est?

  07.11: A cart is initially moving at 1h r:;mcl/bd)k ll9ofa ytw;4mpl 54d*wc9k u0.5 m/s along a track. The cart comes to rest after traveling 1 m. The e :kc d4h;l9) a k1w/b9mpdowr*cym 4l5llfut;xperiment 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 a straight line with a a:ahv*f7g 0u 1: raqwhconstant accelea 7uaw g1*:vf ra0hhq:ration 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 zsb3acwb(6 n,h0 6yvbrmi50x at rest falls without air resistance from a height h above the ground. If the ball falls the first distance 0.5h in a tinwyz6(csr5b i vb00m , bxh3a6me t, how much time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the /))bc+phib 7s mheki-dt3 y,lright. 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 lk)e/ht +hp ,7bs-b3d)icmyi 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 spee4xju,pa2ajzvnz3 11 sd 10.0 m/s from a height H above the ground. The object reaches the ground with a speed of 20.0 m/s. Which one of the folxa1 vn z4ujpz2jas31,lowing 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 objjk-+xx5n2* utyq )2w(xywe bgm(3 o nnect remains in free fall until it returns to its initial launch point. Which one of the following graphs could represent the velocity of the object (g*2b qy)n5nw-euw+ m( j3 yxoxxtn2k as a function of time during its flight?

  14.03: An object is dropped into free fall. Thro2lsofs 8h7y, m3t ;ytnugh how many meters does the objeytn832s f7;moy tsl h,ct fall during the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest acros.fq)dadu63e td( a xc5s a flat surface in a time of 12.0 s. What was the initial speed of the box when it stad5q.tad (c a3uexdf) 6rted its slide?

  14.07: Starting from rest, a cart uniformly acceleryc;q:i pfa9nyp. q8.c ates to a speed of 7.60 m/s in a time of 3.00 s. Through what;f: .9ypq cp.n c8yqai distance does the cart move in this time?

  14.16: A toy car initially moves m 0eb)/p dk zy1k p-wf flcq((x7:fwe*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 average/kf: x w0(ye-k7pflc(mz) 1efw *bq pd velocity of the car during the five second motion?

  14.17: A toy car initially 99n9+ml4v 0 h papzeasmoves 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 oe9pna +9m9lshv 4za0pf 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 second motion?

  14.33: An object moves with consome u.m/i*em 8oe34uktant 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 og u; mckr5sblh n:j) 38g/:xmmf the followinm lr;:uc/xmgsm8k)ghb :3 j5ng choices best represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right ioip09u( p / ud)en)efcompletes 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/ en) )ipof0du9ieu (pg the 8.0 seconds of stage II?

  15.32: An object moving along a line completes a 20.0 secor bos b8t(dm70nd trip with an average speed of 70m(sd8brobt 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 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 44qmyi x*0p fvp8.zel cliff, a small rock is dropped from rest. A ball is launched straightpi v0x44ymez fl.*p8q 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 roadx luym5uhg2 y -h8k,:r, a self-driving car races with a robot. The robot accelera8uy2 r yl hx5-uh:,gkmtes 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 afhzy+*s.ge( p7p qw: 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 positi(gshq7. app+we*z: yfon that is one-half of the maximum height it obtains during its flight?