94.01: Starting from rest, object 1 fa ix4/y uq9*l0g*jxvc)h98dy)jr pimllls freely for 4.0 seconds, and object 2 falls freely for 8.0 4m0l)lyxq i)j*/ h8*9 vj9grd x cpuyiseconds. Compared to object 1, object 2 falls:

  94.02: A car starts from rest and uniformly accelero7(wb o2nx6 rrates to a final speed of 20.0 m/s in a time of 15.0 s. How far does the car travel during this time brro2 w7nox6(?

  94.03: A ball is thrown off a high cliff with no horizontal velocity. It landsgh-tb;9 hcj ku.-tg:w 6.0 s later with ac ;ut:tg w9hbgj-k-.h velocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surf/ts7kk:y:jc bv7*c+m* ck lyuace of the earth is accelerating vertically upward kl7 uc*j :/*svy7c:+bkckymt 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 falling body is found to be moving downwardsk2m77fe-t 1ywsj* p9mf8ttmz at 27 m/s at one instant. If it continues to fall, one second later the object ztemjtk2mwm78yp s 7f 1f9-*t would be moving with a downward velocity closest to:

  95.39: A car starts from+n vz:z)+twwli mixdu)0 ca)4 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 strikes the t bbhca6.z1(dxv0t4 y ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the b(zt adxcyh0 bbt14 6.vuilding is approximately:

  97.09: At a certain time, an object in free fall has velocity09oewx k iby:1 4.0 m/s in the upward direction. What is the approximate velocity of the o 1y0e xw:b9ikobject one second later?

  98.14: How long must )o,kolmym1r lw0 3kz9id.tm4a $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling object is fo,qnzz7k b)s6lb7 xcd 6po1. oeund to be moving downward at 18 m/s. If it continues to fall, two secondsxls 6zo b,1o z)kpeqb7n7. 6cd later the object would be moving with a speed of

  17.02: A small object is ;jq * cbnz.i6acd9w5x released 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 rec . q9 jai;dxb6wczn*5leased?

  11.06: A ball of mass =0.100 kg is laujd+ya p nk nb37j*-*to+nqc5hnched 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 q +kpcb 7n3-yant+jo* h5*ndjmaximum 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 8bxyvt 3 y4/oha/+ugn s1gt -i=0.100 kg is launched straight upward so that it rises to a maximum height of 12.0 m abhb/ggit3a+18n yt- ouvxy/ s 4ove 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 slidi 2teltsv6y4tp110 siwng down an inclined plane has speed 0.40 m/s two seconds after it begins to slide. Approximately how far does it travel in p02st4 1lt1s6vytw iethree seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower with h,po f1q*ofld+d,0x l a speed of 15 m/s. Coin II is dropped (zero initial speed) from the top of the tower 2.0 s later. Assume go ldpo+1hx *ql0 d,,ff 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 up0s)s 8ru9f :ucie0vs cwards with twice the initial speed of another, how much higher will it be at its apex?seu 8) sri90vf0u:scc

  02.30: A box falls to the ground from a delivery truck traveling at 30i;k 0 / di+xb)eun)itl m/s. After hitting the road, it slides 45 meters to rest. How long dtli /ukdxn0+;i )b)e ioes it take the box to come to rest?

  03.29: An object is thr/ i v).tgeuy,town upwards with a velocity of 30 m/s near the surface of the earth. After two seconds what wotg,/i)vy e. tuuld be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2mx-ydmi)24zbflt dl g*30rh 5u& 3m) are thrown vertically upward 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 stone. Assume air resistance is negligiblemg*3 0ib 5h t)4 rzlldydu-x2f.

  10.25: Two point objects are launched straight upward with4ho(u /n8amfpr7qty ) identical linear momentum. Objrfqup8 t)n4 yh (a7m/oect 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 shown. After 0q n t8j1k2kuus2i3u+jp8ka c 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 secondj 3jk2aqu 2c8u +08inuk1spkt, what would be the time between the second and third bounce?

  16.21: At 1.94 s after launch, a +;k .1nvhz m6 i+/gfwhtw tho-projectile in free fall achieved its minimum speed during fliz /tig .f h;+h1wkm+vnow6ht-ght. 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 collision of the ;mp 9uble1piel7 i02x pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what spee 2xi;mpp el190u il7bed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height of a parkite;k:9 j4ffxn ng garage. One student suggested that tfe;4 kj nf9:xto 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 garage?

  05.07: A snail is moving along a straight line. Its i(p4wih1ptm 9r nitial 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 acceleration,(9 hmwi4r1tp p respectively, are

  04.38: A small point-like object is pulled downwards by gravity (down the c+vhy ;u uj4/h3b1h6uz b dqd;plane of the page) but is constrained to exactly follow each of the frictionless pathwaysh6jqdhb u+ 4 ;h3;b/1yzudv cu 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 second later anoth4zowcco e8 44)yecb o)er rock, twice as massive as the first, icz4ye4 obococw)8 4 )es dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a tjk.qn ;+v- mctrack. 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 cav k+.j;-tqmc nrt travel before coming to rest?

  07.11: A cart is initially moving at 0.5 m/s along a track.9jd:z1. uuh2vlgp9 zd 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.z2: 9hj ud9gpzl1vdu/s. How far does the cart travel before coming to rest?

  08.03: A dog starts from rest and runs in a strxi ae 77ots yw94m9vm.aight line with a constant accelerati94xtv eo m. s7wmi7y9aon 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 rz5qy+ /)vx escesistance 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 5q+zsyxe /cv)fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the right.wgs;9 8 4-f zvwrje,ry 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 ag,f-ewr4 9vz 8 jy;rswcceleration 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 h* xri6xn.s, h .i/iwlxorizontally with speed 10.0 m/s from a height H above the ground. The object reach.r/.hlnsx*iix6 iwx ,es 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 str exswu ,817: nfv2vpkeaight upward. The object remains in free fall until it returns to its initial launch point. Which one of the following graphs could refn7p ,82es kxw :uvv1epresent the velocity of the object as a function of time during its flight?

  14.03: An object is drop7gy)2 baof8 qkped into free fall. Through how many meters does the object fall during the first 3.00 seconds of fligh 2k87qygaob f)t?

  15.02: A box uniformly slides 7.50 m to rest across a flat surfaj3ni4. d8bayd0y kcp 4z/ 3cfxce in a time of 12.0 s. What was the initial speed of the box when it stazxi43 ky8c3yd/j cnb pafd0.4 rted its slide?

  14.07: Starting from rest, a cart unif eji-jx) ovxufn29. hl(y *g7uormly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Through what distance does the ca 2yx9 . x7egoih*j-njuvu f()lrt move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five sb 1:xpu(qc2sbz5 3gpfhc.,n peconds 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 b qxbf :1pu,c(.p5 hs23zncpgthe 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.3hd:snb 5s :qm 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 :hqsdmb35s: n during the five second motion?

  14.33: An object moves with constant acceleration st5 f,dpnq :7djoarting 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 movinojm6 hee25jl sx .,s.jg upward while in free fall. Which one of the following he6es 2 .j,5jmj xosl.choices best represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right coje(2:cl3g o 7pbj2b5p bpj6 q/f3m bxumpletes a 20.0 second trip in two stages, I and II. The average speed of the entire trip is 10.0 m/s. fexg:ubjqcj/3job22p7bbl 65pm(3 p 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 witmh h8+8megarkdh1 3a -h 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 seconds haha8r-ke+ 8g m1 hm3dof stage 2?

  13.33: At the top of a high cliff, a small rock is dropped from rest. A ball is e yg229gap2jalaunched straig2ja9ea22gy g pht 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 dropped rock, what is the speed of the ball relative to the rock?

  16.36: On a straight road, a selfof 3j.u cka5l(-driving car races with a robot. The robot acceleoau( lk5 .fj3crates 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 verticm czoii* a0aq9/ px.8bally upward. The vertical 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 the object first at a v.90p8a q/ aizmcxboi* ertical position that is one-half of the maximum height it obtains during its flight?