94.01: Starting from rest, object 1 falls +92orjx f do n0r40bkr)m npc-mb)6i efreely for 4.0 seconds, and object 2 falls freely foenf 6xodr bp0 ir9)0 mo+bc2n4r)m-kjr 8.0 seconds. Compared to object 1, object 2 falls:

  94.02: A car starts 1d*f :plqhcuqp7at c gl(-s r c,jr4)+from rest and uniformly accelerates to a final speed of 20.0 m/s in a time of 15.0 s. How far does th :7-l*pq+r(gc,dc tc4aluh 1 rq)jfpse car travel during this time?

  94.03: A ball is thrown off a high cliff with no horizontaml5,1ue ui+ zq58tu aal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial velocity ouu +eit5u5aqzla1m 8,f the ball?

  95.27: A rocket near the surface of the earth ife k)p8+go:.xq i8g vjs accelerating vertically upward a8jx8)iqg+ .e :vf kpgot $10\;m/s^2$. 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 bw-ja,mql ;9fle moving downwards at 27 m/s at one instant. If it continues to fall, one second later the object would bew-m9 lla ;,jqf moving with a downward velocity closest to:

  95.39: A car starts from rest and accelerates am(wqhgr lz0 itv2ie;il :+.(pt $0.80\;m/s^2$ 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 strikecfil0z* ijlcx ra-o +m6xq4xpxn 9+.) s the ground with a speed of 30 m/s. Assume air resistance can be ignored. The x4i zx+ -irm*f c+l c )oa0np.96qxlxjheight of the building is approximately:

  97.09: At a certain time, an object in free fall has yd3 f3o-is,-v v8u emuvelocity 4.0 m/s in the upward direction. What is the approximate vesum3udvef-y-voi 38 ,locity of the object one second later?

  98.14: How long must *ye 15c4he)g: tq bhwd.gcw +oa $2.5\;m/s^2$ 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 7 m0k8bgo( irm18 m/s. If it continues to fall, two seconds later ir0b8o km (mg7the object would be moving with a speed of

  17.02: A small object is released from rest and falls miakj5/5la z1freely for 4.00 s until reaching the ground. What was the height above the ground from which the obaljim 1/z5ak5ject was released?

  11.06: A ball of mass =0.100 kg is launched straight upward so thidmi 3i at yyf72 h7+q4vluw-*at 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 thv*3iiyq-w 7lf 2ah 4dy7ut+mie 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 upwa i/m lur of-,ufplt6(5rd so that it rises to a maximum heim fr-o/lui(t u5lp,6fght 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 inclined plane has speed 0.40 m/s tcu(iwa 0f(pt(wo seconds after it begins to slide. Approximately how far does it(p(c t(afiuw0 travel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m toweram6 pa3t 5 hju;ng0,yd with a speed of 15 m/s. Coi6dt a,p hyn;u5gma3 0jn 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 uqkdp. l(-3swxpwards with twice the initial speed of another, how much 3q. -lswxk(dp higher will it be at its apex?

  02.30: A box falls to the ground from a delivery tr3dkf crf cu6s:/,yg xic/4z .vuck traveling at 30 m/s. After hittingx c:c4/rffk6/v zg3cuy ds,i . the road, it slides 45 meters to rest. How long does it take the box to come to rest?

  03.29: An object is wu3ol- q r4b ;ktc13gsthrown upwards with a velocity of 30 m/s near the surface of the earth. After two seconds what would be the direction of the dlotk3cb3 qw1u ;gr4-s isplacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass (1m, 2m& 3m) are to0 wlv: -fu-hzhrown vertically upward with different velocities (1v, 2v&z:h0 uvf o-w-l 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 launch -:tg6 4qydkxk: kol,dda)*4h0 wsou ped 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 height ab)ku- x4wo tk gdp,o y :4:s*daqd0lk6hove the launch point in terms of H ?

  04.28: A rubber ball bx7a9) 8tj j poyb;cym9ounces 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 betmj jxbt y8o9;) 7pacy9ween the second and third bounce?

  16.21: At 1.94 s after launch, a projectile in free fall achieved its min fxnk+b ex5s ctefwd7w:.hu6, 2e5+x0d y3gvnimum speek.ddyf ew0e37e+n v 6 5wh:uc,xx5gtbnf + 2xsd during 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 drot:zx0aa;g t*s0sw 8 6zjxat5 ppped from a high vertical cliff. The collision of the pebble with the ground below is seen 1.50 seconds awa0 6a:* a;0jptx z 5sgtxts8zfter the pebble is dropped. With what speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height of a parking garage.g3686-hz7yi eqkhs h y 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 ball to fall was 1.qs 3z6h7i h8g-y kh6ey4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along a straigztzr+k 7q; 9lfht line. 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 acceleratl+7;zrqtfk 9z ion, respectively, are

  04.38: A small point-like object is pulled downwards by gravity (down the planemt y:r*k 8ox-v s(c)55i ayibd of the page) but is constrained to exactly follow each of the frictionless pathwayb ar-tv5o:d c)i5yy*x( s8kmis 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 tyrbl,+*t)y ozuxp(odg6 rn02op of a tall tower. Half a second later another rock, twice as massive as the first, is dropp ,*()0grbzo u26oxldpyr t+n yed. Ignoring air resistance,

  06.18: A cart is initially movi3(5d/w zge:j tep ic0mng at 0.5 m/s along a track. The cart comes to rest:/35t(wdzm ceji 0g ep 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 cart travel before coming to rest?

  07.11: A cart is initially moving at 0.5 m/s along a t74yx3bv/dd eojq sy +(rack. The cart comes to rest3 yo 4qsdbey+7x(dv /j 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 cart travel before coming to rest?

  08.03: A dog starts from rest and runs in a straight ldtkw cq b9,s59ine with a constant acceleration of 2 tbqdswc9k,95 $.5\;m/s^2$. How much time does it take for the dog to run a distance of $10\;m$?

  10.29: A ball initially at rest falls w,0f (z9j p *t4 aru,ob-im(h/l oyh(:tfee djnithout air resistance 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 fall the remaining distance of 0.5hma(ef 4u-deir oztoj0p ,jhhntlf:(9(*/, y b?

  10.38: Two objects both move and uniformly accelerate to the right. At time 3+igf:c zr4 *tj42j urja y8xzt=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 trazzrtjc42x iyuaj8 3+*fg:4rjveled in this time T by Object 2 to that traveled by Object 1?

  12.26: An object is thrown hcw 5ydy(0v l4rorizontally with speed 10.0 m/s from a height H above the ground. The object reaches yv0( y c4r5lwdthe 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 upw;m36l zcsjt ym,g7pla3x j de0nh84k5ard. The object remains in free fall until it returns to its initial launch point. Which one of the following graphs could represent the velocity of the obje73,dgjpmllay c03x; 46jz5etmn8h skct as a function of time during its flight?

  14.03: An object is dropped into free fall. Through how many l7 t5(n rkpx ij(e(9l2gpwwx:meters does the object fall during the firsxex5(2(gw 7r(l:9 jpnlki p twt 3.00 seconds of flight?

  15.02: A box uniformly slides 7.5 nw .*nulgi,x- 6q( 81nzdlrlb0 m to rest across a flat surface in a time of 12.0 s. What was the initial speed of the box when it started (*g-,6x qdnzu l.nb1n r8lliwits slide?

  14.07: Starting from rest, a cart uniformly accelerates to a speed7ux h+li.s; zn of 7.60 m/s in a time of 3.00 s. Through what distance does the cart move 7+h xsuz;li n.in this time?

  14.16: A toy car initially moves to the right at 60.0 cm/s. Five seconds s7wujex73zh,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 velocity of the car during the five seco7zhsx, uj 3e7wnd motion?

  14.17: A toy car initiallyxko 0g,/gdo trcj.48v -m 2psil2lt n+ moves 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 magnitude of the average acceleration of the car during thevkg llts/j8igmx4nr+ o,p2to 2 .d-c0 five second motion?

  14.33: An object moves with constant acceleration starting bnx:(t(x z/pevy u;i 7with 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. Which oi*-xzg1a7sgv71gb2w : a e2fko( ckqcne of the following choices best represents the direction of the object’s acceleration durin2g*7v (gxi-o7q af1gwa2cc1 eks:z bkg its flight?

  13.26: An object moving only to thwg *;y8;sf k518im ehsflidz:.tu0bie right completes 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 wl5bs8 hfii.mekgyi:;dsw;t1zf *u08 ith 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 movinyhuzcd(3 mpyz1ewl-g9h )-e2 g along a line completes a 20.0 second trip with an average speed of 10.0 m/s in two stages. Duringe1dly) w 3hpcy-zuz geh-9(2m 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 high cliff, a small rock is dropped from res.o cbg lpdy9ov( 93xj6t. 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 initially dropped rock, what is the j bogo9pv93ly. (6xd cspeed of the ball relative to the rock?

  16.36: On a straight road, a self-driving car d+la;yi /;rqn)fw xay(- iz6uraces with a robot. The robot accelerates ( ;il xau w/nra;+yf)-dqyz 6iat $8.50\;m/s^2$ 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 pos0- qoj-iqk:* k eqmg7xition of the ball 0.70 s after release is the same as its vertical position 4.q-kkx7q m:io jeq0-g*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?