94.01: Starting fromv8t;2q4 msnbg;3w j yw rest, object 1 falls freely for 4.0 seconds, and object 2 fa nwyvgtb 3;jmw2s84 ;qlls freely for 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a finab awh7j-)t n9jl speed of 20.0 m/s in a time of 15.0 s. jjanh9 bw7)-tHow far does the car travel during this time?

  94.03: A ball is thrown off a higq,j6 8uqnj h*.48bbxm ksm gs:h cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. Whkbmn4j8b86qujg .:h sqx , sm*at was the initial velocity of the ball?

  95.27: A rocket near the surface of the earth is accelerating vertically upwar-u tdy+oncag fc8x:q9:.vsm4 d at .q+4t c9v suogf:anxyc:m8d -$10\;m/s^2$. 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 od30yfi a)g*lc+-;bam 4floj e ne instant. If it continues to fall, o+ a04f)fdjac-b3;miel y g*lone second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and accelerates at bfp0wrz ry74b j0q2prc9t)3d$0.80\;m/s^2$ 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 stlky1(,v+j/0otv ko y crikes the ground with a speed of 30 m/s. Assumey(y+v/, lkj vk1ot 0oc air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an bd0erebk. 1 k*object in free fall has velocity 4.0 m/s in the upward direction. What is thebdkeb 0 *k.er1 approximate velocity of the object one second later?

  98.14: How long must ,ah2tfnzy zrp: 5*tq2a $2.5\;m/s^2$ 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 moving downward at 1 e2qlh )evycyb. p10a98 m/s. If it continues to fall, two seconds later the object would be moving wq )20ay 9hv ee.p1lcbyith a speed of

  17.02: A small object is release6w(l4gprv mh2 d 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 released?2vm6p 4glw(r h

  11.06: A ball of mass =0.100 kg is launched straig e1;nkcd;om.* xrd84w oq6t cmht 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 maxidwt;;qxm.n*4dcec rom k1o6 8 mum 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 s9mp1dnr+cs nig+ )o8e traight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximately h8dp+1m isce gn+9)nor ow 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 two4w2 m4yegkd+ tjsi3l8pux/(t seconds after +s/ iyw4 3xu2e4pl( j8ktmdgtit begins 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 tower win5j 8h agg) :vs(b6vvoaz5 -vcth a speed of 15 m/s. Coin II is dropped (zero initial speed) fr c)z 5s:g-vbaj8ghovv6n(va5 om 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 +:0wj/tth1zrmi :friw+l h7ithe initial speed of anotz +ir:hh it /rwjlwtif01: 7+mher, how much higher will it be at its apex?

  02.30: A box falls to the ground from a delivery trus lde c).t z ;;+pog*u5skjm2ock traveling at 30 m/s. After 2sjl;k5z.u tod)m oc;g* sep+ hitting 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 vef6* f6oaz. 6pryus pg+locity of 30 m/s near the surface of the earth. After two seconds what would be the directionf6 +yo p6uf .gsrp6*za of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& xw- :kreu56yx 3m) are thrown vertically upward ue5x rx6-:w ykwith different 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 la9 tynp/*xsr4q-jkn0g ;k xpz*unched straight upward with identical linear momentum. Object 1 has mass M and reaches a maximum height H above the l4ys*/*jt; p 9q 0gkz npkr-xnxaunch 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 shown. After e: mhh-do)zqotsntk qtw, ,rob :5.,)u ach 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 t,sokrdn) hqz5tbu,ohw ,)t. :t:qo -mhe time between the second and third bounce?

  16.21: At 1.94 s after launch, a projectile in free fall achieved itshe00am by-2ccl qv 0;q minimum speed during flig20a c0h-ec0q lqmybv; ht. If that minimum speed 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 vertical cliff. The colli bwg/1i/e g,;wcckzgb.yb .b 6sion of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what speed did the pebble hit the ground? Ignore /z.,ewigbcb.k/w;6 bg1c yb gair resistance.

  06.03: Three students were)r+*be(i qd(g u*vvd y 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 tennis balls. If the time )g(*i du(+v*ebrvq y dfor the ball to fall was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along a h9; 1 .xubsxlnx1 pwcm qr6l/3straight 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 accexxq;c9/6.hnm 1lrbpux31w l sleration, respectively, are

  04.38: A small point-like object is pulled downwards by grad5 wjxgsm;8h7e*7de0 xa brvl2qcw *e w74ao.vity (down the plane of the page) but is constrained to exactly follow each of the frictionless pathw7wjcg a veldx*o 7;aq2b0r7w esd5xeh m*w4.8ays 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 time.

  06.13: A rock is dropped from the top of a tall tower. Half a n2fvjs g* e8j1 :hs0eqsecond later another rock, twice as massivese1 jn:*gs0fe qjh82v 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 cox dg/,7iirfdd9*cue + +si r8wmes 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 i f*8c+dd9wx d+i/rs ug,e7rifar does the cart travel before coming to rest?

  07.11: A cart is initiale9kt ud.y6)f fly moving at 0.5 m/s along a track. The cart comes to rest after traveling 1 m. The experiment is repeated on the same tr y6kud)t ff.e9ack, 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 annuw. k.5c6qql d runs in a straight line with a constant accelerqcu5w l.nq.k6ation 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 fal 3llm8m49* qhek bllms4l e23els without air resistance from a height h above the ground. If the ball falls the fiee3hq4* 2 memsbll83ll k9ml4rst 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 move and uniformly accelerate to the ,f6*xwemj5bw xc5k wo7; j t*tright. 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-hae5*kx w*;jcojtw7 5fx b6tw m,lf 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 height H ab mejdy p2njxu:68 a7y4/ osnb+ove the ground. The object reaches the ground with a speed of 20.0 m/s. Which one of tsxep4d7 jm:y +ba62 /jynoun 8he following choices best represents the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straighw3yoz;rtu8 ss ,.h1lnt upward. The object remains in free fall until it returns to its initial launch point. Which one of the follooruzstsw .1n yh38l,; wing 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.r-2z lange/ z. Through how many meters does the object fall during the first 3.00 secongr/l.ez- z2a nds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat sf 3ywsq 0+-7nv8ufqol*;q ik rurface in a time of 12.0 s. Whaql q8 ufqfv;*ns+ 0 o7r3-wyikt was the initial speed of the box when it started its slide?

  14.07: Starting from rest, a cart uni2wsd 1v8ocm e5tc3t1d/1hyyz formly accelerates to a speed of 7.60 m/s in cs3yo11t/51ec 8vhd dmyz t2wa time of 3.00 s. Through what distance does the cart move in this time?

  14.16: A toy car initially moves to the right atv0gyxe;9or5 . 2zr bsg1u zq-i 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 str es5.0bqz gy9;x2zrgu i1 -ovarted. 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 w y(fy9d-bqr( uh--l zat 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 acceleration of the car durin(rlq-bzh-wy9fu y (d-g the five second motion?

  14.33: An object moves wi 03k z34yel/ xmrqck*d :ewus.th 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 initia(*xp;ofj/m 2a8tjtz.b hxv c-lly is moving upward while in free fall. Which one of the following choices best rxato.-vjbzm8(t hcfx2p ;/j*epresents the direction of the object’s acceleration during its flight?

  13.26: An object moving only ton xu9h47 w5mcen/pb/g 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 during the 8.0 seconds of stage II?c mwnb/5e94g p7unx/h

  15.32: An object moving along a line comp m4k+o k3v6wybyzbtzj/. 5)yeo4c /ymletes a 20.0 second trip with an average speed of c.o3yy o4k/4zv6t ebzm ywk/j)b5 +ym10.0 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 cliff, a small rock is dropped from rest. cqcv+jhl: w 7en6;q,e A ball is launched straight downward with an initial speed of 36 m/s at a time 2.10cv;:ncw+6j,q l 7heeq 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-drivir*8uxi.sq ut; yg p)du7ncw 7.bv8p aw)0 ;ywcng car races with a robot. The robot acceyy8p;wx0gwb7w d8rp s uvc.;ui*.unaq ) )7tc lerates 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 vertica jv).5 vp;dygpp, ecsf*7 l,.gd t,yngl position of the ball 0.70 s after release is the same as its vertical position 4.10 s after its release. At what ,*)d57tlg.ydc p; ngg,p s,e.vjpyvftime is the object first at a vertical position that is one-half of the maximum height it obtains during its flight?