94.01: Starting from rest, object 1 falls freely 2y 0nm ; frbhga-cv5i:9 fyr0ifor 4.0 seconds, and object 2 falls freely for 8.0 seconds. Comparygcva f b2nh5myf0-i 90 ;:irred to object 1, object 2 falls:

  94.02: A car starts f)2vj:;z byfsko s.g/wrom rest and uniformly accelerates to a final speed of 20.0 m/s in a time of 15.0 fbs/g.y)2ozk : j;swvs. How far does the car travel during this time?

  94.03: A ball is thrown ofo +)nc hh*c:yvf a high cliff with no horizontal velocity. It lands 6.0 s later ):n+h*o chcvywith a velocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near7nygz9s5wky :1 it)pw8th1u k the surface of the earth is accelerating vertically upward a7w9yz :tiuy18w) k5hnt p1 gskt $10\;m/s^2$. 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 dasmb /ftmb. 0 249lxtiownwards at 27 m/s at one instant. If it continues to fall, one second later the object would be moving with a downward velocityfli/m0st4 b9tm2a b x. closest to:

  95.39: A car starts from rest and acceler)no52ag w6y/m s v8xqrsc *a1cates 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 d h7wsdl/lc17jyx. t cfp9.*tgropped from the top of a building strikes the ground with a speed of 30 1/lx tlcd97t wys f7c.h pjg*.m/s. Assume 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 (7ijng yst tl+io81,iupward direction. What is the appr1t ,8gj 7(i+isti oynloximate velocity of the object one second later?

  98.14: How long must bwr3n;bvntom+a t7vmb q 9 3(:a $2.5\;m/s^2$ 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 downwag ntvo(s t1jj1ed:g5 , 1c3xvdrd at 18 m/s. If it continues to fall, two seconds later the object,tvgx sg j( :nc13jvd1 1et5od would be moving with a speed of

  17.02: A small object is released from rest and fallsdthv yhxrh sp 2n.3f(m 42n4;53dnr nz freely for 4.00 s until reaching the ground. What was n( ;3z34shn xdh2ft5mnr 4ypdrh 2n.v the height above the ground from which the object was released?

  11.06: A ball of mass =0.1k*2j 2rp9gkymi+ 4v)xvnf o ;q00 kg is launched 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 height, which one of the following choices best represents the magnit2mo qxjn*g9kfi 4 vrp2;kv+y )ude 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 strn (pv +ravz/zyk hwci(/7,c3 xaight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximately how much time/nhcz /7 v,aycp rz(v3xk(i w+ does it take the ball to reach the maximum height from its launch?

  98.31: An object sliding down an inclined plane has spee)uiqn*g;lf j0v80 g,s y2w rqgd 0.40 m/s two seconds after it begins to slide. Appvg0*2s ;ujqirg08ng qfl,y) wroximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward f;5vk*+kqea2p*.r o vwdd6v dlrom the top of a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero initial spea52l ek*vd wk6vq*p;d r+vo.d ed) 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 wi ut/eem-t );pw rnv0ja+kpm4:th twice the initial speed of anotk)m/ntp4:pu rmt evw +a-je0; her, how much higher will it be at its apex?

  02.30: A box falls to the ground from a delivery truck traveling at 30 m/s.on i7(,dwk. b )6z;m*grrgqii After hitting t,ii7bgw(m6 o ;qnik).dgz *r rhe 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 velocity of 30 m/s n( :9i .vi0sn9wx.7tfexlv rvq ear the surface of the earth. After two seconds what would be the direction of the ft9vqnil7vixx 9v(. :srew0. displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown vertically uptje 6nk88f v;kward with 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 vet8k fn8k;j6stone. Assume air resistance is negligible.

  10.25: Two point objects are launched etg:i. sul(untvy0)* 34uuccikb q1 /straight upward with identical linear momentum. Object 1 has m :t10 4. qucvit*u)c/lubu(s 3k gynieass 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 bouncey0i+:(4muvtyo cl;e . hfp+nis on the ground as shown. 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 time between them;lv+ye:4n0cf io ph . u(+ity second and third bounce?

  16.21: At 1.94 s after launch, a projectile in free fall achievejp0 *fmoc n:a nnt c/es24+(ysd its minimum speed durinj2sn ns(e 0ac:+y* m4p/ ontfcg flight. 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 collisio1 zjw0v ,d:8frymlx6qn of the pebble with the ground below vjm1f 68,0rx ldzw:yq 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 were arguing about the-tx z,p+ 9bnmn 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 for the ball9t,nn+zxp- b m to fall was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along a : bje,d0yy n3b7n8txoy2 ;gpvstraight line. Its initial position is x0 = -5 meters and x,b y jg3b8t20e y7pn v:ndoy;it is moving away from the origin and slowing down. In this coordinate system, the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object qr4 .m io 7ba);8 rsedw20dqhuis 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 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. Assu 0h78) i4d2e. ds; qorramwubqme 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. Halfq6:nmllu)d pzff7a x3,xhx8d4p( xe. a second later another rock, twicuf7adx,xxm ( z)lpdf38 .e4 6:qnp xlhe as massive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.4fbmk7sf m,d u9-hff9jb 1x6 w5 m/s along a track. The cart comes to rest after traveling 1 m. The experiment is repeated on the same tracfjb bh f, 76wkxsummd 4f-991fk, 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/s4 w-i dy4.p:4z*ny0ood 4feq.efwdz r along a track. The cart comes to rest after traveling 1 0qe *4z 4d:oyz.4.iy-wo fdwn pde4rfm. 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?

  08.03: A dog starts m:6:tk+ xxlc m+hg69o yr h0alfrom rest and runs in a straight line with a constant acceleratio6a: ycmt9+olxhmkl hgx60: +rn 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 w upz(4m6-qvlnlid lw632,9 l e e+vxia 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 -upxwn zl idleev6w94l3 2i6lv,q+(m remaining distance of 0.5h?

  10.38: Two objects both move yfmmh8;g* 3g kand uniformly accelerate to the right. 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 tiy8f;hm g3*gm kme 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 zbb)zysan0h88b 038 anid5kv speed 10.0 m/s from a height H above the ground. The object rhvdzsbay 8ba0 k03nz 85b8) nieaches 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 thrown stm0 1cec gs8nzktl-0-g/ akc a:raight upward. The object remains in free fall until it returns to its initial launch poia8:sza-ngtlcc 1 g0c /ek0-kmnt. 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.0fzhme-; ylg0zygw:7 Through how many meters does the object fall during the first fg0 lzehmz-0y7: wyg; 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a fl*b vs( c+s)xydat surface in a time of 12.0 s. xy *cb+)ssvd (What was the initial speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelerates;z4vw/uz c6,v m30(xra1 ;jhwk qmuvf to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the cq0wvvz;4fh zx/j c1ukurw (vm3m6;,aart move in this time?

  14.16: A toy car initially mov+ seqn*600sg *hfq 7xpvw +ectes 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 magniq6pge * nw+ qhsts f7x*ev0+0ctude of the average velocity of the car during the five second motion?

  14.17: A toy car initially moves )u t fn-9c/fcj)4orjoto 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 acceleration of the car during the five secnr9 -)c4ujcotj/f f)oond motion?

  14.33: An object moves with constant acceleration starting with velociu+8nvox tae 4-ty $v_0 = 5.00\;m/s$ 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 izfhj.59p:vhc)5y*wqv : v( md ov -jdhwn* c*nn free fall. Which one of the following choices best represents the direction of 5f*)po h*:c qn5wv zv c:hn9dwyj( v- m.h*vdjthe object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0 second trip in qlnwt/ e2z87 gtwo 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 8.087t e/nq2wgl z seconds of stage II?

  15.32: An object moving along7 :p-vyexkdgc 3i:6r u a line completes a 20.0 second trip with an average speed of 10.0 m/s in two stages76 y:vcp- :euixgk3r d. 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 highb(ca:tfgv 6 y ,zyhg9( 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 initialltg byf(6, ay( v:gh9czy dropped rock, what is the speed of the ball relative to the rock?

  16.36: On a straight road, a self-driving x2 0f 3qvni0inj.65mzu uacf1car races with a robot. The robot acce ic qf 3am510 u0uzjxf2in.6nvlerates 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 verticalx5so8;mew /e *gvo-lx position 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 thexso mo*/xw v5 -;le8ge object first at a vertical position that is one-half of the maximum height it obtains during its flight?