94.01: Starting from rest, object 1 falls freely for 4.0 seconds, agdqdoe+a 2.4a nd object 2 falls freely for 8.0 seconds. Compared to object 1, object 2 falls+aga 4oed.d2q :

  94.02: A car starts from rest and uniformly accelerates to a fi w+6vibd z:-eonal speed of 20.0 m/s in a time of 15.0 s. How far: -zo6ib+evwd does the car travel during this time?

  94.03: A ball is thrown off a high cliff with no horizontal velocity. It la +nw kpselc)ssccdqt .p))mct:b/ 8q5; /-jonnds 6.0 s later with a velocity of 40 m/s. What was the initial velocity of -clc) 5k8nqpc;s/sjwqbmts)n+ : .ct)/e dopthe ball?

  95.27: A rocket near the surface of the earth is accelerating vertica;v-u470 (xrs lmaab hhlly upward at ar;70(hlh-basmvu4x $10\;m/s^2$. 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 downwarn wr:r; 4:, tq4lxusvgds at 27 m/s at one instant. If it continues to fall, one ser ,4nqw;rut:l vx:s4gcond later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rest and acceleratqsfk;u0ne49)67raboi zp 3 jmes 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 t ul h8ots1pz58qls:, 9ckb)laop of a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ignoreds185 q8lo9tk czlh: ) b,spual. 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 o2baoqun )117wgl)l-* tdcd gupward direg*) o-odganql d 1c7u1lwt)2bction. What is the approximate velocity of the object one second later?

  98.14: How long must ezt.r jbzk(* )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 downward at 18 m/swydxj3ay/vb6aga8 29 a/v8vfd2 0 ymh . If it continues to fall, two seconds later the objecta0dm2yxvv/fad698 aw 3b gy/jv8hy2a would be moving with a speed of

  17.02: A small object is released from rwe-e3gh kvy6/q6( b-sxs5ncq est and falls freely for 4.00 s until reaching the ground. What was the height above the ground fc3 qe6eqgwb5n- kvyh(/s -6x srom which the object was released?

  11.06: A ball of mass =0.1 f nwk+,ukh/(9je a*eo00 kg is launched straight upward so that it rises to a maximum height of 12.0 m above the launch point. Ignore air r*eak,ujk 9feho(n / +wesistance. When the ball reaches its maximum 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 straight upward so that it rises to m.trrtfa* bp:s2 9b. wgew )y2a maximum height of 12.0 m above the launch point. Ignore air resistance. Approximately how much time does it take th t.m 2.b92:rwstreayb pw*g)fe ball to reach the maximum height from its launch?

  98.31: An object sliding down an inclij0voq kb *hu)/kw2j*o ned plane has speed 0.40 m/s two seconds after it begins to slide. Approximately how far does it tra **h/kjb kj)u2o 0ovwqvel in three seconds?

  98.40: Coin I is thrown upward from ;jx mfdf)9q2pthe top of a 100-m tower with a speed of 15 m/s. Coin II is dropped (zerof ;mx)qd9p fj2 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 upwag2+grzg pif v(yn.w7- rds with twice the initial speed of another, how much higher will it be irw- gyg72(pz g.+f nvat its apex?

  02.30: A box falls to the ground from a delivery truck traveling at 30 m/s. bi*c14 yf*mwq)tdwo,zpiu3sl5ru dh9 **t k+ After hi qi wz*boy9df5+*)3d4uth wutsrim* ,kc l1*ptting 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 upwardse8c(vjjr dn38m+sb49e- u( duoyjn.f with a velocity of 30 m/s near the surface of the earth. Afteredjo4 cu (rn n9.dj-+3byfjev(m u8 8s two seconds what would be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are thrown vertically upwarok q mw4f6g9bxls:8x5e0 g e /t3cpea5d wi84x3 p/xse5lb:9 co6ke 0eagqw mtf5 gth 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 lay0 )d5 .uyz m*bcfwkn3op)vdd+nkb;2unched straight upward with identical linear momentum. 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 h ).zom pbvw) k*d5yd0ndf3+n2;bu y ckeight above the launch point in terms of H ?

  04.28: A rubber ball e do h 2hl+l2s4/j/snibounces on the ground as shown. After each bounce, the ball ihl+ j ss22ho4n/e/dl 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 the second and third bounce?

  16.21: At 1.94 s after launch, a projectile in free fall acfh3zg 5ytf0l-8s 6lz khieved its minimum speed during flight. If that minimum speedz zl0- k3sfgt8 h5fl6y 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 hi3k v4rm*v3dg 9we67s .oibuz tgh vertical cliff. The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With what spzw*t.vi vd9sk3eo3 6m gur7b4 eed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height of a parking garage. One syccw d 1w;a kdt-e85bo)u4c, mtzw56ntudent 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 ball to fall was 1k)bn1w8-tt,amdcdwce 65wuy5 c ;zo4 .4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along a stie-h2)g 4(nal,c uxyw raight line. Its initial position is x0 = -5 meters and it is moving away from the origin and slowing down. In this coordinateu gwye(xacl)h,4 n2-i system, the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like objecv r.f gaa+,2,yz*zrhtt is pulled downwards by gravity (down the plane of the page) but is constrained to exactly follow each+,* rtagzfh,rv. 2ayz 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 time.

  06.13: A rock is dropped from the top of a tall tower. Half a sy to,1 u4l8ipvecond later another rock, twice as massive as the first, is dropped. Ignoring air resistyu1p84 t,iov lance,

  06.18: A cart is initially movi, l/ixbe/)0 ds*fvkqt ng at 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 now the cart is initially moving at 1 m/s. *fd/sil,) qktxbve 0 /How far does the cart travel before coming to rest?

  07.11: A cart is initially moving at 0.5 m/s along a trac;g p wfq3b 5x+sky4-qjrrcjts)0j.i6 k. The cart comes to rest after traveling 1 m. The experimen qfj3;c.45q6y) r bis+kpsr jg-wxt0jt 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 from rest and runs in a straight line with a constant accel,97uvq eirgc0eration of i 9e ,v0gcuq7r2$.5\;m/s^2$. 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 resis1v10s a dzal2q7rw7wt gl0r5 gtance from a height h above the ground. If the ball falls the first distance 0.5h in a time t, how much time igwa7zglts01rw aqlr7 0 1v52ds required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the right. At time ./ij v wub88e3hzcf y02hy fn/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 time T, the velocity of the two objects is the same. What is the ratio of the distance tra fn0i h.y2ucjw vy8/e3zf h8/bveled in this time T by Object 2 to that traveled by Object 1?

  12.26: An object is thrown horizontally with speed 10..zjz49 8q/ 5 jmn nfbi5)1glvp+dup lb0 m/s from a height H above the ground. Theibmlj9z 4vd1 + gbu fq/58.z) jnpp5nl 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 thrown straight upward. The objecmtvv9ei43 fy(8ex cl1gm 6:oot remains in free fall until it returns to its initial launch point. Which one of the following graphs could represent the velocity of the object as a function of time during v: lt1om3f9c6 8x(o gei4ymevits flight?

  14.03: An object is dropped into -l0q mz6ff e99n3n-xzt(z t flfree fall. Through how many meters does the object fall durinxt (6t-m-e lfl0z9n nfz9qf3 zg the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest ac ;2wtv58bpt ybei8o;iross a flat surface in a time of 12.0 s. What was the initiabtyio w8; 2bi;5ptve8l speed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelera3j3n*6 k nwpusga s0+gi zl0u2tes to a speed of 7.60 m/s in a time of 3.00 s. T6+0uul3ssgzp *n3jg0wk na2i hrough what distance does the cart move in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five secon 4:2qsyt:gxoq ds 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:s :qoyg4qx2 t 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 rg3j s iq:-v7gfr bq;8f:ua6ltight 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 onefgs3:i bgfu8 at67;qvr:q j -l 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 acceleration startino xni8*) ay j9c3 qav;f56cz0rlf 8ggxg 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 free fall. Whyjl nho+ c;hmg2s;lp *p/vo76ich one of the following choic62h+ph yn*cj7vgs; ml / op;loes best represents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0 s8 0y0 3ttc 6psqlh) qvhnyn303kkg.bvecond 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 constb36qtc8s00.v)n tgk v33hpl q ykhn0 yant 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.k:pq,f,h du5y 0 second trip with 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 td:y qfp h,ku5,he 8.0 seconds of stage 2?

  13.33: At the top of a high cliff, a small rock is dropped from rest. A ball h em .rv grv/uis)2 9bg513mv1faa:kmis launched straight downward with an initial speed of 36 m3k51mmrg9bm2 ie g v:rvah1 as) fu/.v/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 self-driving car racesp) xkonu 7fuhnx7+rx(,-zhync9-ev/ with a robot. The robot acceleraty7-n(7oxu u), hznn9/phv xrf e-x+ck es 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 launcop lut4z4* lgfs +c76phed vertically 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. 7t s64o 4gzpc*+upfll At what time is the object first at a vertical position that is one-half of the maximum height it obtains during its flight?