94.01: Starting from rest, 44pa h/psz,d8k6d nn xobject 1 falls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compdh6k4xa/pndzs ,p n 84ared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final speed of 2q 352n y7i)rgbwy c(lr0.0 m/s in a time of 15.0 s. How far does the car travel duwrnlb7(gi2 qy) 5ry3 cring this time?

  94.03: A ball is thrown ov rr.3lkud+ k0ff a high cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial velocity of the blkuk r30v +d.rall?

  95.27: A rocket near the surface of th0 hv1,vncer:le earth is accelerating vertically upward at cvr,e lvn10h :$10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling body iuq4 t2w1yu bq*s found to be moving downwards at 27 m/s at one instant. If it cutq1y u4q2bw* ontinues to fall, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts fro.r(x+nvon f*hp s 4:pjm rest and 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 dropped from the top of a building st ycpfubidq/m q4,))r.rikes the ground with a speed of 30 m/s. Assume air resicu4qy., /)brmi)dp q fstance can be ignored. The height of the building is approximately:

  97.09: At a certain timk:1layy z7k*h-i q ra4e, an object in free fall has velocity 4.0 m/s in the upward *4yqk71-: yalr a hikzdirection. What is the approximate velocity of the object one second later?

  98.14: How long must a fsh.bkn/v( :e)3chq n $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling object is foun2js; 6c a:a4:zvgl -r bf4rhstd to be moving downward at 18 m/s. If it conti6br :zfl ct:4s-hv4g a;rsja2 nues 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 un +q undv0,:rxhd2zyfm 25f h3atil reaching the ground. What was the height above the ground fr2:dz hx rmyv,0a5quhf 23fdn+ om which the object was released?

  11.06: A ball of mass =0.100 kg is launched strai pa) pj 7ms+z8vuo 9)a8ujg*ulght upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. When the ball reaches its maximum height, whlgo7 us) aa+u 88mpvjj z9p)*uich 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 rises to 1 h,6djun22bhd2fmt uwt 9+fsv+0qk la 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 height 1mf2jvufsn20+9ud dhlthq 6,2 w b kt+from its launch?

  98.31: An object slidiiv7b6b6 s; vxing down an inclined plane has speed 0.40 m/s two seconds after it begins to slxbsbi 6v;6 i7vide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m towep6o/cy nvm hm, cg811 n4nmq;5ovz1 jtr with a speed of 15 m/s. Coin II is drom jc vgq15yon1nt84h p1 vm;cm ,z6/onpped (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 +6atmey8,2q ,u:t d ebi)sve -vru6iothe initial speed of another, how much higher will6mv u -2yteab+q6s ei8ir,td:) ,ueov it be at its apex?

  02.30: A box falls to tmz 1k + 71m.htmyr0.f (degiwlhe ground from a delivery truck traveling at 30 m/s. After hitting the road, it slides 45 meters to re.m0wt. 117kdygemfhmiz( r l+st. 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 3sntc2ej+ 1/3;rl cjsfrq+qq the surface of the ea1 sfr3j;n++2eqr3lc stjc/qq rth. After two seconds what would be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1 fyqo0en, 22 tl-l4ljmm, 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicat2-n4ly,tjom2q efll0 es 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 lq7h*toh ;q:evi2s*zaight upward with identical linear momentum. Obje;:vqsho*iz e2qt* 7 lhct 1 has mass M and reaches a maximum 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 shojn6)xio8pve pn r4 7d:gbtrvd0/t u 72sw6.ar wn. After each bounce, the ball re7wpx4:)jt6dnrnrs0 a 2vidpe/6.o 7urgb 8vt aches 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 achieved its minimtas k7rh9)v/7v swp,jum speed during flight. If that minimum speed was 15.0 m/s, what hvs /rws7 pj9kta)7 ,vwas the projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertical cliff. The collisio (1 filtv;ca( jzlt8n)n of the pebble with the grol(vaf(j1tit ln z;)8cund below is seen 1.50 seconds after the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students wer ly(b0 nsb8* iqpac2t3e arguing 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 tennis0 p*iy28bbt3lan( sqc 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 movin byffm.vrs ,b4 q( ij)r.:vsq:g along 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 velocitq:s i y,(s:f . 4mvfrj.)rvbqby and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravity (down th8n lrx,bui5p c5j5,are 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 direction that there is no loss of energy and that it takes negligible timeip8 5j5acr 5uxnrl ,b,.

  06.13: A rock is droppedi4u b7yjf7hajt* 44r3eaw (ge d)ydb: from the top of a tall tower. Half a second later another rock, twice as massive as the first, is dropped. Ignoring air resi(twh y4au)3 e4b a g7d4fider*j:jby7stance,

  06.18: A cart is initially moving atq-p/- p uba/pqxl(i f0 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-fbpual -ppqix( 0//q 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 we:s01/ l 6c9utrf2i8l l)frpmxs /sm 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 before coming to res6)mfmtlue2scw if 8:l/ lxs1/r9p 0srt?

  08.03: A dog starts from rest and runs in a stravd 9x- 6vd0es4 4jpzof09 wegip0u) agight line with a constant accelea9iu0 gowefx 0 -sv d4d0zv 96)jppe4gration 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 withoutxv:w)kaqc *4s4,d j-mkvqmis ;h./s 0n)dpbb 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 distance cn sm/4sapxwvik b*-qk4;d):d s, jqhbvm.0 )of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the right. At ti4rse(n.i+zxw me t=0,the objects are at the same initial position. Object 1 has initial speed twice that of Object 2; Object 1 has one-halns 4wx.izre+(f 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 h1 qv jhy:(*ysrorizontally with speed 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 following choices bvj* 1 q(yrhys:est represents the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The object rem qewx zipw2;qq0vc 1z,;h2ktx -o*pw; ains in free fall until it returns to its initial launch point.0z -v;tq*zhq o, k wxxp;2p2c1wq;wei 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 dropped into free fall. Through how many metpt +naf2;uc,3a hzz/qers does the object fa/huznt;c3f2p a+ aqz,ll during the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat surface in a tip nq x6c;s wb.njs0,t*me of 12.0 s. What was the initial speed of the s*6j .0sxn;cpbq tn ,wbox when it started its slide?

  14.07: Starting from rest, ay yau)4qwdje*b 78 6h4eu 7pvz id3av. cart uniformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the cahevy8)4p436j ydu*va q.b7 d e7z aiwurt move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Fiveinp/c)ln+ rl.0d6mt2+xb omw seconds later, the car is moving at 40.0 cm/s to the left. The total displaml.cin+6m +wn 0 /r )opbld2txcement 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 velocity of the car during the five second motion?

  14.17: A toy car initially moves to the right at 60.0 cm/ :q dsd8*j6l5cda3briviwoc h x:5t+2s. 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 followinc i38lav5dt*+:bo5rdqw jh6 cdsx i2: g choices best represents the magnitude of the average acceleration of the car during the five second motion?

  14.33: An object moves with constant acceleration startr1f ,ozn/ lyf 0/dl,d)r)llcoing 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 ib6hob -k,3- 4z*qq iqykr:rxep 6t 4mfree fall. Which one of the following choices best represents the directiot 6e3b,xqko*qpimi4q64: bh zkrr- -y n of the object’s acceleration during its flight?

  13.26: An object moving only to the right cjmrau6 d;p8x z99 fd3oompletes a 20.0 second trip in two stages, I and II. The average speed of the en3o6 9zf ju9;m dard8xptire 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 second trip with an avera4v1zu i :mgal*ge 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 constu*m lg:14vz iaant 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 bnz7l(hyq r8yd/ 1 aud5all is launched straight downward with an initial speed of 36 m/s at a time 2.10 s after the rock was dropped. u 1y( dz 8yal57rh/dnqWhen 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 7) + (:ggqmu wf00yi xb4 8zf)rzbolzkcar races with a robot. The robot accelerates b fwq+ l0gu)4rfz zz)k7m (0i8o g:yxbat $8.50\;m/s^2$ 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 5d mc/y:smyl, 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 a vertical position tym5m/cy d,l s:hat is one-half of the maximum height it obtains during its flight?