94.01: Starting from rest, oo.v,h :9k4.h *xuoj:gs gik fwbject 1 falls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Cojg. s o*4g.ukx:,i hw:vf ko9hmpared to object 1, object 2 falls:

  94.02: A car starts from r uls)lvnk tr0 *)b-qi8est and uniformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car travel duriniv-8 rk) nq)tsb*ull0g this time?

  94.03: A ball is thrown off a high cliff with no horizontal velocity. 4b3jfmy7fdu,3umc s1 It lands 6.0 s later with a velocity of 40 m/s. What was the initial velocity of the,4f m ycm3fd7usb3uj1 ball?

  95.27: A rocket near the surface ofu / hs6zy56woq the earth is accelerating vertically upward zo yqs56h 6u/wat $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely fallintoe wox;o,u01)a q8f vg body is found to be moving downwards at 27 m/s at one instant. If it continues to fall, one second later the object would8v1)ef o,ato oxuwq ;0 be moving with a downward velocity closest to:

  95.39: A car starts from rest and accetc9drgh(d hdyds)6* 4oker 7c,q:j-c lerates 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 tn/n9 9d e6blzy,(awnehe ground with a spee wan(nb/9l,z ynde9 6ed of 30 m/s. Assume air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object invzob 4 8ct1+id free fall has velocity 4.0 m/s in the upward direction. What is the approximate velo1v8d o +cit4zbcity of the object one second later?

  98.14: How long must ajmx; p 9;d1tfj $2.5\;m/s^2$ 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 downwar6/j-1 nkls) zhu0v /giczl9fq d at 18 m/s. If it continues to fall, two seconds later the ob c zlz/6 )ni0vs-gju9lfq/kh1 ject would be moving with a speed of

  17.02: A small object is released from rest and falls freely for 4.00.df/ ws7ow k(gcfxxge 7s -9-zkzz a5ot3y.o/ s until reaching the ground. What was the heigheo f d7(w/ gyfk ..wza zz9/c-3 x5tko-sgxo7st above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is laul2 cu s(ibqad)f9k+4wnched straight 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 heiwi(9d fsqau4 c2b +lk)ght, 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 upw(l:mqa1w p9p2h 0c zrxard so that it rises to a 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 ma9 ahz0rqxcp l(: 1pwm2ximum height from its launch?

  98.31: An object sliding down an inclined plane has spe r l+2l)syt5y u0vj(lmed 0.40 m/s two seconds after it begins to slide. Approximately how l jsl m0r5(lvu2ty)y+ far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 10**m-vidxvhew(4w jegq:ne 7n,o) j20 nipet/0-m tower with a speed of 15 m/s. Coin II is drop* npineee,e2 d t-(gwq)vw/0i7on 4xj:j*hvmped (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 j4;*ukk5t, iv mbi .oethe initial speed of another, how much higher will it be ab4 ev * .tk;m5iiku,ojt its apex?

  02.30: A box falls to the groume/ed1v w mnr24 6il0hnd from a delivery truck traveling at 30 m/s. After hitting the road, it slides 45 meters to rest. How long does it take the box to come to rest?w61/ dm4l 0ie2vmr neh

  03.29: An object is thrjdr*gz 3rn()-*gp,wyar c:mw own upwards with a velocity of 30 m/s near the surface of the earth. After two seconds what wo )g(z-d3*ywr:jaw*nc rm ,g pruld be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different 7vci ncu1 9m1 v5:tzehmass (1m, 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively). The diagram indicate7ni1 tc1 vmvhc59e uz:s 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 launcherrerdg;u(q :qi v8qvo6hp *m 7n c15p6d straight upward with identical linear momenp66qgmv*h prrndc qo(;5qvr 18ei:7u tum. Object 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 bc i/le)vzgcu6 9h: hdng70la-ounces on the ground as shown. After each bounce, the ball reaches one-half the height of the bounce v dln 69a7li)h0 e/cgh:cgz-ubefore 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 jj 59 nxhue;r-qdr--vfree fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch from the h uqx-9rv-ne j-r5j ;dhorizontal?

  05.02: A pebble is droppedzgqwr8i ),wu7 from a high vertical cliff. The collision 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? Igno7zqw,wr g i8u)re air resistance.

  06.03: Three students weree5zdos0nqyx(p*2 y kjq 6c hm -(iy,)l arguing about the height of a parking garage. One student suggested that to determine the height of the garage, they q y5s ,qdic 2o0yynze*lm-(hp j) x6(ksimply 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 garage?

  05.07: A snail is moving h.v--dh7(+g g p-) veb ihgflialong 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 hvi- gbph-)- (leg7if+hv. g dthe initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravity (down the2npn x ,oy.1m+m+ uf66fax qty 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 enerff+u,apyn2my6 +q6 m 1 nxx.togy and that it takes negligible time.

  06.13: A rock is dropped from the top of a tall tower. Hl,jbki m7 bag/mh7 hna6,8 gm8alf a second later another rock, twice as massive as the first, is dropped. Ignoring air resistg8m blbgmn, hma86ai7/,hjk7ance,

  06.18: A cart is initially movk.7.(hd+0 i otblk xjf,: useling at 0.5 m/s along a track. The cart comes to rest after traveling 1 m. The experiment is repeated on the same tra.ilxl ,t0dk: e( js+u fob.7khck, 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. The cart comsyvy+ljg 3y-p h;11dxes 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 comyx- g1vd3y1 ;shp +yjling to rest?

  08.03: A dog starts f fy-l 83xxfx/)mkz c(jrom rest and runs in a straight line with a constant accelerati cjxx)z/f- m8yk(x 3flon 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 without air resistance from a height hkz:(mhbcfx j4grwu.z,/ cmh cs60( v 8 above thc/j w.mzh8rf :hcz4 0bk,6u x sc(g(mve ground. If the ball falls the first 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 tt +ci bl4*aqxc-at +r:he right. At time t=0,the objects are at the same initiala:*-i+ cxtcqtrlab4 + 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 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 2vcjmw*i6/a xm/s from a height H above the ground.x a2j c*mviw6/ 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 resistance.

  13.10: An object is uzx 5.iw.uoh h ux1 g/n3ynv*/thrown straight upward. The object remains in free fall until it returns to its initial launch point. Which one of the followin53z/ h.*1.uonigxw uxhu nyv/ g 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 metesphi/zvew7z,9/g/(; go( mfep tj k7grs does the object f o/gvt7,gfwpeh 9z(g/km 7esj/ ;pi z(all during the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.wfdoi clpv,il v;3gu(+,m4w 3* s2 wml50 m to rest across a flat surface in a time of 12.0 s. What was the initial speed of the box when it started its slide?p(s 2 3w*iul3cvv,gl+mw,o4if d w; lm

  14.07: Starting from rest, a cart uniformly acce3/onj wn7idz,: tt/d9 xyjmw. r n3ng-lerates to a speed of 7.60 m/s in a time of 3.00 s. Through what dist3j3n gdrj-:z/ntox md9 y.t,iww 7nn /ance does the cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five seconds lat j4i/abqz.rz -rj o*n4er, the car is moving at 40.0 cm/s to the left. The total displacement of th 4-rn/zar4zj.j q*o ibe 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/s. Fiv7dc/ xt,zow4p+)st y 0j i;z2n amp/lee seconds later, the car is moving at 40.0 cm/s to the left. The total displacement of the car during this time is 10i om40spdtnx;wez +j/atp/ 2,)l yz 7c.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 constant acceleratiegis)dyy86f-4q/ u;(tz oi wfon 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 movi2rlx7gmgz+ 9tfd+zwoqh 1,7 kng upward while in free fall. Which one of the following choices best represents the direc m h 7qr9olgzg,17+tz+xfk2wdtion of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0rg ooq8 wc /b5s:xxe64 second trip in two stages, I and II. The average speed of the entir8oxxqbo4w 6e/gc:r s 5e 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 averag9xd0o)x l(3fa7fqrii*sw rf3 e 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 secondq or3sfix 0(f)wfd73al x ir9*s of stage 2?

  13.33: At the top of a high cliff, a small rock is dropped from res aj4x2 b9o nehyv)/r;qt. 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 ev a4 9)ryjq2honxb/;initially dropped 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. The 3hev - o5y s7jz0boert3 fpyk 2/q.xeant1i./ robot accelerates 51yi2-r oqjn7phe0af33 .stt ve/by k.zx/ oeat $8.50\;m/s^2$ 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 alz3yh ;swp8ol+( qubd)l78: h( wkadball 0.70 s after release is the same as its vertical position 4.10 s after itsw7k;dy+8 a8a(ozq:) u3shb plhw(dll 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?