94.01: Starting from rest, objectlcpji 8ao ) 7p2mkpb1 ;ybg8o+ 1 falls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compared to object 1,b 7bigcoao;pkj8l) p2 8p1m +y object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a final speed of 2*+9wjx j4na l8hjwzn20.0 m/s in a time of 15.0 s. How far does the car travel durinajw8l*h4n2zj+ jw 9n xg this time?

  94.03: A ball is thrown off a high cliff with no horizontav b+vgatym/(+kde -k rbl2l:1l velocity. It lands 6.0 s later with a velt:lyg(l+ek 2/ dbkam-b1rv+v ocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near the surface of the ec*wzgf 6xp.nsusq./ 54z li27 we3tqaarth is accelerating vertically upward g2f/ 7wp3.c 45x nszi .as ql6u*qztewat $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling bobh6.- t 1ihjriu.jsh jk 7q,yyu ),hz/dy is found to be moving downwards at 27 m/s at one ins-7hk h is6hzbqthyrj/.uj)yu,,.j 1i tant. If it continues to fall, one second later the object would be moving with a downward velocity closest to:

  95.39: A car starts from rm079y h1mumh test 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 strik;g h 2-5xutz7n mli0uqes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the building is approxihnu t;iu 2q5ml0-g zx7mately:

  97.09: At a certain ti-9 bvjf h*q g)jns xh:fyv7;a7me, an object in free fall has velocity 4.0 m/s in the upward direction.hb7 -xh)qjj 9:sff*yavvn;g7 What is the approximate velocity of the object one second later?

  98.14: How long must1h5;*:*,ak rwuozfzgvu qw z / 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 -xb 6xnkjx8t)k77 tthfound to be moving downward at 18 m/s. If it continues to fall, two secondsb-k7jxk 87tth x)nt x6 later the object would be moving with a speed of

  17.02: A small object is released from rest and falls fre0+ qp mblf87 i4v(xzxqely for 4.00 s until reaching the ground. What was the height above the ground fqbmq+0(478vxx fz lpirom which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward soya.k2r (rttr chr2 8g4 that it rises to a maximum height of 12.0 m above the launch point. Ignore air resistance. When the ball reaches its maximum heightay28(2rtc4g r.k rthr, 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 tv++u5lu ojaoxpt038 qhat it rises to a maximum height of 12.0 m above the launch point. Ignore air qu+5a3x0 lotuvo+8 jpresistance. Approximately how 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 two seconir:p6 2b ac+uwf ho89qwn5q2ahu y.3rds after it begins to slide. Ap fon2ru cq+ 2ira: 8 6b5qhu.ww9hyp3aproximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of ai3tg/lzrxh+649m the 100-m tower with a speed of 15 m/s. Coin II is dropped (zero initial speed) from the top of the tower 2.0 s later. Assumthi9z43er6m+h txg /le 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 the initia iud2qiep10ts+ .hz:nevbx ( 0l speed of another, how much higher will it be at ittq + zvh2di(1 b. 0nspeuie:0xs apex?

  02.30: A box falls to the ground : aj- ,tb1;cv0xzlzigs x+7c*h gwa.ap (i,xefrom 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 c(+zjh*xw1ez0vxbta,sg-i c:,xg.p; l 7aia to come to rest?

  03.29: An object is thrown upwards with a otsyi-o,z+a0 velocity of 30 m/s near the surface of the earth. After two seconds what would be the direction of t+t-i zs0a o,oyhe displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones ofz y0lu:a 7p2cn different mass (1m, 2m& 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 negligibleu7a2 c py0nzl:.

  10.25: Two point objects are launched straight upward with identical lininuo i b ;w(k,sbx9ff93 hch,bv4qz5+ear momentum. Object 1 has mass M and reaches a maximum height H cf+f xi;z isbovbhk5n, 9u39hb (q,w 4above 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 each bounce, the baj4fe uao/ir+2 +*ahec ll 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 iu*+2jr of/eec4+aahwas 1 second, what would be the time between the second and third bounce?

  16.21: At 1.94 s after launlfv)l) er*,t vch, a projectile in free fall achieved its minimum speed during flight. If that minimum speed was 15.0 m) ltlrv,f )e*v/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 theuafyk h ef-;j6-r ng)- pebble with the ground below is -f;-ej)auk- nrg fy6h 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 abouuut r94ztpi.03pen5l1 vwm 5k t 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 i5m3eu vznpt.51k 4rt9 pw lu0the 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 (6l ,:0gcgpi* woddscline. 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 acceleration, respectively, d* w:cdi( 0copgs ,gl6are

  04.38: A small point-like object is pulled downw:2vvgb h:hkicnomej u56znhf(50e c g9 9*9rhards 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) nece:f2hh r5(6:v*9ij0e9 cehong uczgmnkh5b9 vssary 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 toweyekk49t6 nu(od7(r i tr. Half a second later another rock, twice as massive as the first, is droppek97uy(o krtn4i(d6 ted. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The z i)ls d.; 9xs2y*jenjcart comes to rest after traveling 1 m. The experiment is repeatxjsed*2j 9;y )ls .nized 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?

  07.11: A cart is initially moving at 0.5 m/s along a track. The ca9fag;o75ked hw tf 2*drt 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 wehd *f257d tfgao9;k far does the cart travel before coming to rest?

  08.03: A dog starts from rest and runs in a l4nz4/m 0drjd(lzc 10p8 qd mr tx30d4lp-iwsstraight line with a constant acceleration ol104 zrwd8qdsxld-4pm (ji c0 t /dp rnm30z4lf 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 wud p;/ xyfkq9 ;g0dy-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 ref9-uy kg;py dq0dxw/;maining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the right. At tim5uoafcx z r t(eb6p,n ,0,,qfse t=0,the objects are at the same initial position. Object 1 ha0,o,(, q 5xfnep f bs,cuzatr6s 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 m/s from a height H abxt;6 vk e*psv:ove the ground. 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 objep sxe; *vk6v:tct’s flight to the ground? Ignore air resistance.

  13.10: An object is thrown straight upward. The object remains in free fall axu w+ kzx 9rq)y9if-yww/+3 ue -(jxpuntil it returns to e+ jyax( 9uq-wrz u)xykpw3/ fx9i +w-its initial launch point. 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. Through how many metersz;fml qnr +d 3o(04ktl does the object fall(t+lfn0 ;rd4o3ml zk q during the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat surface in a time ofd psfexx8v; wost tkc3/15 2e; 12.0 s. What was the initial speed of the box when it started its slids3k 128;/twfc st5ev;pxexode?

  14.07: Starting from rest, a c67 mqrq 4l 5rq5t7rkzfart uniformly accelerates to a speed of 7.60 m/s in a r5r5z7 qm4t r6fqklq7time of 3.00 s. Through 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 seconds later, 7v-opn4+b rdr 99 u *ctz*mdqfthe car is moving at7dcvnd9 f-tzm *uqb9+rr 4po* 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 velocity of the car during the five second motion?

  14.17: A toy car initially moves to the right at 60.0 cm/s. Five secors;kbl9wl:r1-e 1 zwmnds 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 s1r w- l1krzleb9w;m:the magnitude of the average acceleration of the car during the five second motion?

  14.33: An object moves with constant acceleration starting eokigf- n1(2axu by(u9l+u4j 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 up / so3jz4o rp:-:dnmlb9vq-ndward while in free fall. Which one of the following choices best represents the di4n:lnzpd:bvs-o 9m q- dj3 /rorection of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0 second trip in twi87:eu 1gej tqo stages, I and II. The average 7ut1 8jqi g:eespeed 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?

  15.32: An object moving along a line completes a 20.0 second trip1/jb/a2j 9 sk ,hnwah*ndihu1 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 hihna/*ws1b 92hadj kj,hu/n1ave during the 8.0 seconds of stage 2?

  13.33: At the top of a high cliff, a smfehwl7bvu) s*9o* +lv4w6s gpall rock is dropped from rest. A ball is launched straight * s p)o 6wbvhle9s+w47uflg*vdownward 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 self-driving car races with a robot. The robot acce ) mf-w6vpp;wplerates atwf6)vw p p-;pm $8.50\;m/s^2$ 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 nda*o,l.q kj u/l2lht2 7xzb2ball 0duljb7k ao 2.2 nl*q2/ltx,hz .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 vertical position that is one-half of the maximum height it obtains during its flight?