94.01: Starting from rest, object 1 falcv/af93 c yem v6hf/2mls freely for 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compared to ob acf /cvmyve92/m36hfject 1, object 2 falls:

  94.02: A car starts from rest and undb )qz/*dem) zdvrk3tq0:-a hiformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far dz0 r:v*/-)q )bhkqmatzde3 ddoes the car travel during this time?

  94.03: A ball is thrown off a high cliff with no h0hsy8 yd(() ooay* notorizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What dos( o (yty)ny8*ah0 owas the initial velocity of the ball?

  95.27: A rocket near the surfa u o3g8qpcpvx-) n()rpce of the earth is accelerating vertically upward qru)( vpog8- ) p3npxcat $10\;m/s^2$. 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 movi 4p+6l-.muxbyo z/qxdng downwards at 27 m/s at one instant. If it continues to fall, one second later the object would be moving w xup.o-b/l+d6xqz4 ym ith a downward velocity closest to:

  95.39: A car starts from restz,ac 74v6 thitjmen(u) 1*lun ffrv5q/l x,4x 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 t ;rjjnkhxe :.2, x1jrw :py,cmhe top of a building strikes the ground with a speed of 30 m/s. Assume air resistance can be ignored. Th r1.xj,pj:e2m : yh ;,wjxkrnce height of the building is approximately:

  97.09: At a certain time, an object in fre6uc1 9kntzv zpojm3 *x,0bz0 ke fall has velocity 4.0 m/s in the upward direction. What is the approximat0 x3,z p*vk0znz jc6mu1bko9t e velocity of the object one second later?

  98.14: How long mustdz zjs (o-be;8 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 downwarxbfpp,.8 ) 0yrfpda+ph lmf3,d at 18 m/s. If it continues to fall, two seconds later the object would be moving wifppfr x, b, f0yp+ha3p8l)md.th a speed of

  17.02: A small object is released from rest anamk.13l 8kv ijd falls freely for 4.00 s until reaching the ground. What was the height above the ground from whic.81ik mvk al3jh the object was released?

  11.06: A ball of mass =0.100 kg is launchedz uc w2+56imzyx ved r3ibp0 n*19fsw/ 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 he 6/ rud5y zibx*w+0mfcev n19izs23wp ight, 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 ai1 l mu5ka,xdmzq+-85h .tiokg is launched straight upward so that it rises to a maximum he +i-dmami t,5l.q8u 5hoazx1kight of 12.0 m above 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 sliding down an inozv w9w, )tzmec9vrq: i l:y*4clined plane has speed 0.40 m/s two seconds after it begins to slide. 4m*e,ivwzl cq rv::)woz9y9t Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower wxv;tjs:s l .ca, piy,a-ly +k*ith a speed of 15 m/,,s:k.v;axtli jy*s cl +py a-s. Coin II is dropped (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 v t,qp7ek(fucbm39*w9 q1xxr with twice the initial speed of another,qxtrb *cfex,1wp(7mvuk9 93 q how much higher will it be at its apex?

  02.30: A box falls to the ground from a delivery truck trb+dboj t*;-giaveling at 30 m/s. After hitting the road, it slides 45 meters to rest.d gji; to+bb*- How long does it take the box to come to rest?

  03.29: An object is t4 0xyd 1ugm5y9vg8ur qhrown upwards with a velocity of 30 m/s near the surface of the earth. After two secondsu1gxr4u5mdygyq0 9v 8 what would be the direction of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m+(mrq-/-myn6wqb xry , 2m& 3m) are thrown vertically upward with different velocities (1v, 2v& 3v respectively).mwm/+nr- xyqq -(b ry6 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 launched straight upwy2q4+ nvad w:l.zb-c ward 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 height above the launch point in terms of b -n+ .w4:wlzvyqcd2aH ?

  04.28: A rubber ball bounces on the ground as sk7g+5(r ,skgm hyn.zy5ae z f6hown. After each bounce, the ball reaches one-half the height ofz.n5 +mr (s6zy,ekafghy g 7k5 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 aft9w2 jiolfd1e 0er launch, a projectile in free fall achieved its minimum speed during flight. If that minimum speed was 15.0 m/s, what was the ji0l eo2d1 f9wprojectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high vertic(oem 4apl9y/ r4g, yg0mefuj3 al cliff. The collision of the pebble with the ground below m 3a/egylfy gp( j,09r4oemu 4is 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 arguin7z +e*jbs hy1hg about the height of a parking garage. One student suggested that to determine the height ofs7hz y1b*h ej+ 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 initial position*vzsjvxt u 8 w3imyda/2cfaa6(+2r(t is x0 = -5 meters and it is moving away from the origin and slowing down. In this coordinatey 2( rm a+adsv 3j/tctzx8fiuaw v(*26 system, the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravit3ueq i6t sno(r ;bs+9dy (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 sqb d+(ur9 3se;6oit nfrom 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 ta4b dxj)e(9yibybc h *1ll tower. Half a second later another rock, twiceb ejb*c ih()1y49x ydb as massive as the first, is dropped. Ignoring air resistance,

  06.18: A cart is initially moving at 0.5 m/s along a track. The cart comes to remt3 1bxjgj- m:;oatm*st 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 caxmtbg-a;j t3:j*o mm1rt travel before coming to rest?

  07.11: A cart is initially moving at 0.5 m/s along a track. The/mq00i d9 82sitydnhr cart comes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is initially t in8ihy d d9m02/0sqrmoving at 1 m/s. How far does the cart travel before coming to rest?

  08.03: A dog starts from rest an) l3i tp;gsj9*y klhv)d runs in a straight line with a constant accelerationg3* 9pki);t)v jy llhs 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 resistanc+ qzv.urimt,thnq)p fysj rj/19h:.6w; l b (ve from a height h above the ground. If the ball falls the first distance 0.5h in a time t, how n)hy./ribq:rm j qzh 1vlt.,(u+ j pwt6s;v 9fmuch time is required to fall the remaining distance of 0.5h?

  10.38: Two objects both move and uniformly accelerate to the right. At tiwy (txrtapdc1b4;n+ 4vs-cpf n 53f2pme 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 same4n4 d t n3pffc2abcx-t prp; y+(5sw1v. 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 dl8jy/pq42 . do6mrkxfrom a height H above the ground. The object reaches the ground with a speed of 20.0 m/s. Which pkmj4yr ol2qx.d6/8done of the following choices best represents the time of the object’s flight to the ground? Ignore air resistance.

  13.10: An object is throgod :mcix c)/,wn straight upward. The object remains in free fall until it returns to its initial launch point. Which onx/: ,icogcmd )e 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 pyl 2 j6x(pb6l 2vog7emeters does the object fall dur ob jgvxeyp2l27(66lping the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to restwp7p9pr28x xiv9kxs5sl j z8 xk-(ku, across a flat surface in a time of 12.0 s. What was the initial spee8rxk2ks x59jkzx8l (w ,7pxus-pi 9vpd of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly accelocv/)et kcyly714h8k7r: a peerates to a speed of 7.60 m/s in a time of 3.te a14oecv/7cp7y l8hy: kkr)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. Fivei-h 6pdu:*ccofr p) 9p;ex)ty seconds later, the car ixptp-dc9iy)h ur ce)pf6; o:*s 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 velocity of the car during the five second motion?

  14.17: A toy car initially moves to th bfy(8b0 clxw;e 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;lw8fy (bbcx0 of the car during the five second motion?

  14.33: An object moves with constant acceleration starting with v-s(5j snr-vbkvnovey.m034v97 cdy b elocity $v_0 = 5.00\;m/s$ 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 x (ap5j18lv;9u1g i2vbwu od imoving upward while in free fall. Which one of the following choices best represents the direction of the object’s acce2jiw1puoi9x uab1(v ;gd l58vleration during its flight?

  13.26: An object moving only to the right comple ha h*vem1(e. 0 qao;xlye48pjtes a 20.0 second 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 constant velocity of 6.0 m/s for 12.0 seconds. What constant acceleration must the object have during the 8.0 seconds of s0*e (a .ho8jpmaq4y;xhe ev l1tage II?

  15.32: An object moving along a line completes hbtirm-hrdrv(:wd c: w3; 3.ha 20.0 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 d ;w:w3 .hci hvr-dbtmr3:(rh 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 high cliff, a smalo wk)6x-izvye)thsh .k vy;yb:f4/.rl rock is dropped from rest. A ball is launched straight downward with an initial sp /vv k)oxfs-;hz4kyb6yh..t w :i )reyeed 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,d )ro lhu2q.8t a self-driving car races with a robot. The robot accelerates at8qh u2d)t.r ol $8.50\;m/s^2$ 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 ju c fw(mh;o 4(x bhzp8bg vzp;)+q+4hposition of the ball 0.70 s ujhbzg xfb+4;p)c4oh(z(m+hpw qv; 8 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?