94.01: Starting from rest, object 1 falls freely for 4.03,:hn tfhq e s(f8cq2t seconds, and object 2 falls freely for 8.0 seconds. tq:qfe h2s,3c (8nhtfCompared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accele0 m,nwd0sf:q erates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car travenwm :,s0dq e0fl during this time?

  94.03: A ball is thrown off a high n6 636-:hg+g;,htjbf njqe *lwgh ae rcliff with no horizontal velocity. It lands 6.0 s later witg 6;bg,: ter6ae6 flj+qhh*nhgn -w3jh a velocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near th( u ep7lq3l 3hv*rgmg:g ucm 2d/n+nd+e surface of the earth is accelerating vertically upward :lndl+hd7/mregugq mn32p3 v*ug (c+ at $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely fall 9fp+r t :j3nwpu9t)yzing body is found to be moving downwards at 27 m/s at one instant. If it continues to fall, one second later the object would be moving with a downtjt u 3fp99):ywn+rzpward velocity closest to:

  95.39: A car starts from rest and accuo/:gzb 79zsrdi dqa ;vr18. belerates 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 the grouno.ivg-,pe jka+fa3i9 d with a speed of 30 m/s. Assum v3-k.i ,jo+9aaipfg ee air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free fall has vel4z:yj uc;7vbseyqdgc 1wwsy 45i(,6hocity 4.0 m/s in the upward direction. What is the approximate velocity of the objec;45s7 (vh bi 14qyw u scgdw:6ceyy,jzt one second later?

  98.14: How long must 4rni7gb k48wnv(-amw+j fe .fa $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling vjdii3 0fb w*5object is found to be moving downward at 18 m/s. If it continues to fall, two seconds later the object would be moving with a spee3f w5i*i0bv jdd of

  17.02: A small object is released ukke8dwlzrse + t2p-4 9lkknh 7h//3xfrom rest and falls freely for 4.00 s until reaching the ground. What was the height above the ground fh st dek+-le8kn 23w ph79// kkxu4zlrrom which the object was released?

  11.06: A ball of mass =0.100 kg is launched ss4gfai em yi(2o 8ia(- :j cp6hf6va:ttraight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air iatpag(:4h va my8-f (sj : 2i66cioefresistance. 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 kg is launched straight upward so that it riq ge3)m(3jttpe z).bjses to a maximum hei().t3)tjmp zq3jbege ght 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 sliding down an inclined plane has speed 0.40 m/s two secondsw wi 6 y) ne;;ihcimh(*42rqub, yxpy7 after it begins to slide. Approximately y i) ;pyw2n* 6 mrhbx( chyqiwei,;74uhow far does it travel in three seconds?

  98.40: Coin I is thro)o ,5481u)lnges d,zii0 inkvvw ,aupwn upward from the top of a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero initial speed) from tl ueo k1)v58pzi4,udwa,, i0v sngi)n he 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 initial speed of8 lxr05j9f fo)yr7q6 ee ta muzf657j wohfl56 another9uol6xfr7zf 7)m6jf f0 l weteo5r 8a5j5hq6y, how much higher will it be at its apex?

  02.30: A box falls to the ground from a delivery truck traveling at 3 9ni //w(ff0-bpgtwpl kur07y9h :eqj 0 m/s. After hitting the road, it sli-gfyk 9ipj el (0 nbw u:/0fr7pq/hw9tdes 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 surhmo olf +ofp)j,90oz(face of the earth. After two seconds what would be the direction of the displacm zf 0lohp9o)+j,o(ofement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of differentlisex r, 0k(j/ mass (1m, 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indic/x (ir sk0,lejates 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 strs4snu8uvoxk pj;5x :5 aight upward with identical linear momentum. Object 1 has mass M and reaches a maximum height H above the launch point. If object 2 has m 8 vx;psxkusj5 5n:o4uass 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 bour-f2is 4 ,q 6jzmg9mdxnce, the ball reacmdfsr,m264z i x-9gqjhes 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 second and third bounce?

  16.21: At 1.94 s after launch, a projectile in free fall achievdva /p88up7 zxed its minimum speed during flight. If that minimum 87 d/pz a8vpxuspeed was 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 vt98oy/lol i kn*gv2e; lsb:/gertical cliff. The collision of the pebble with the ground below is seen 1.50 seconds aftervo gi9k/b *ynllt gse:28o/l; 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 r66ax; 5qa ilwof 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, approximately how tall is the parking garag; ax6 wl5ai6rqe?

  05.07: A snail is moving along a straig9nya:9fxp ga6 oeqg, fk7l)c)ht line. Its initial position is x0 = -5 meters and it is moving away from the origin and slowing down. In this g lafce ayp9 x6,):7)gqkno9 fcoordinate system, the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled do3v hamni1 ir1+wnwards 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) necessary for the object to be released from rest at point A and travel to point B. Assume that in changing 1m1 navir 3hi+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. h*tf78za p5 slrr0:lvHalf a second later another rock, twictl fh z50p*la8: rrv7se as massive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The cart comes t ksh6* ha6oe zda *pz/qu;44axo reo e* da p6kh*/s z446haqzxu;ast 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 rest?

  07.11: A cart is initially moving at 0.5 m/s along a track.i59)0u pcwc-b; p )qclu3en qk The cart comes 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 befor39l -wb 5n;c0)uq)qpkce uicpe coming to rest?

  08.03: A dog starts from rest and runs in a straight line with a 11;)t 5fcbly* prxw1:pgmokteu7ze 7constant acceleration of 21r7uy: z mkg 1pewbpe ) fl;xt*cot157$.5\;m/s^2$. 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 resistance frkrn:bewi5 (*1 eik+fqv7d )hqom a height h above the ground. If the ball falls the first dista*h+q5 i id)fb:e7qvnre(k1 k wnce 0.5h in a time t, how much time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelhfi; lm,pa5,m erate to the right. At time t=0,the objects are at the same initial position. Object 1 has initial speed twi;l,fma ih,m5pce 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 h7g04;fc-1r 5vzng f(qyt froe eight H above the ground. 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 resistaqtv1c(fr7z;fgg y4 n f0er-5 once.

  13.10: An object is thrown l/kb 77x vmf w,n:kk)gstraight upward. The object 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 as a function of time duriwx:f ,nl)k7bvmgk7 k/ng its flight?

  14.03: An object is dropped into free fall. Through how many meters -lcwf ltmt,n 81 +9:s4ucgcyidoes the object fall during the first 3.00 s c9l 4gt8cls i:tmcnu1fw-y+,econds of flight?

  15.02: A box uniformly slides 7.50 19)5 1tgd9ob/spbwxn 3rcrt om to rest across a flat surface in a time of 12.0 s. What was the initialbo1btn owcpd)1 rgs5r t/39x9 speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed of 7.60 m/s sv446pas1vb b in a time of 3.00 s. Through what distance does vpbb6v as41s4the cart move in this time?

  14.16: A toy car initir,* nw5 ryfy d:zc3f,ially 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 ynrfidcy fr,3*:w z5,10.0 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.w4j*eq7v :g7hij(u lb0 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 acceleration of the 7ug v(7he ibl*jqw j4:car during the five second motion?

  14.33: An object movesza46 dyf,8suw with 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 ku* by avv0*f3one of the following choi ayu b*vk3vf*0ces best represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right co2ec)hul0b5 lmr :uv 2hmpletes a 20.0 second trip in two stagel:hu)b0 mlh5r 2 vu2ecs, 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 during the 8.0 seconds of stage II?

  15.32: An object moving along a line completes a 20.0 sec 1aw,9 o8pvk2 md*s)no iuoh ;2vhvpf6ond 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 magnitude acceleration directed to the left must the object have during the 8.0 sku p ;* pn2ivv,oo6wd a fmh8o1v)h92seconds of stage 2?

  13.33: At the top of a hig 5oon)l*py/u)pkg 1,zimyk f)h cliff, a 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 dr)fy km/lpui k)5ono ,) zgy*1popped 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. T nlh eq(cb w-m) 2et3eo5h2m1hhe robot accelera5 e3(n2m2 h hcqo1mlbt-)we ehtes 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 bal )x-pdhpxj2 js:k*fc8lf96m9q; fw vul 0.70 s after release is the same as its vertical pos 2 p:d 8cxfxjf)l- v6mpuqk* fj9s;hw9ition 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?