94.01: Starting from rest, object 1 falls freely for 4.0 seconds, and object 2 w (8jot1azak(falls freely for 8.0 seconds. Compared to object 1,o(1zwa ta8(jk object 2 falls:

  94.02: A car starts from rest and uniformly accelerates to a fina8 (18 jhfntgjr)ol fp6l speed of 20.0 m/s in a time of 15.0 s. How far does the car travel d(n fjl hp6t)grf 8j1o8uring this time?

  94.03: A ball is thro0 q/gvqvvb f3xf -1 bm(h*s kq(z+r6xewn off a high cliff with no horizontal velocity. It lands 6.0 s later with a velocity of 40 m/s. What was the initial velocit e1 rk3 vz0shm/+b*(g(fvx6fqqvqxb-y of the ball?

  95.27: A rocket near the surface of the earth is ac/,.hb/dtb0f8ml a: m/qwi6pzauc4v pcelerating vertically upward ,/.m/auv8lza mb0dq4 :bhc6/p ptiwfat $10\;m/s^2$. The rocket releases an instrument package. Immediately after release the acceleration of the instrument package is:

  95.13: A freely falling body is found6, p5seh :a)c3t* ptu;yfsp cy to be moving downwards at 27 m/s at one instant. If it continues to fall, one second later the object would be moving with a downward velocity closespp5 st , e*6u yt)csfh3:cp;ayt to:

  95.39: A car starts from rest and acchfa,+w,py+ mdelerates 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 grouge fcz.p6s-a:mg6cx 8 fb+t/x nd with a s xfx6.f8z-m 6stc+ce/: ag gpbpeed of 30 m/s. Assume air resistance can be ignored. The height of the building is approximately:

  97.09: At a certain time, an object in free fall has. y,j ov(vwc.y velocity 4.0 m/s in the upward direction. What is the approximate velocity of thev , .ojw.ycvy( object one second later?

  98.14: How long must;+ iv(d9fhj hv 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 4rb,z i dla5o2 rpe6w 0hfk6(lobject is found to be moving downward at 18 m/s. If it continues to fall, two seconds later the object would a 6f6d,or( lizhw0epbr 2kl45be moving with a speed of

  17.02: A small object is released from rest and falls ; ug4uw5 veletp *59 g j9nzokqpm;1i3freely for 4.00 s until reaching the ground. q99vpkoe pz5nt j e3u;mu4 g*5wl1ig;What was the height above the ground from which the object was released?

  11.06: A ball of mass =0.100 kg is launched straight upward so that it rises -2m1-t nano s q7+iaxnto a maximum height of 12.0 m above the launch point. Ignore air resistance. When the ball reaches its maximuo i nas1-t 2nn-+x7mqam 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 t (733o7c :ddrrbnl0b b,ohuqiwoaj/ l5ko( y:hat it rises to a maximum height 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/uoci (ojl od:yw3r3qhnra7k:bo7 05d(blb , launch?

  98.31: An object sliding down an inclined plane has speed 0.40 9ijx5 .sy il4vm/s two seconds aftixs l9y ji4v5.er it begins to slide. Approximately how far does it travel in three seconds?

  98.40: Coin I is thrown upward from the tmwk t(tcz*y*t. al uk 2,z3*gk4b wlr8op of a 100-m tower with a speed of 15 m/s. Coin II is dropped (zero initial speed) from the top of the tower (, g.tw *zckk*l8 ka*3t4yu2rt zlbmw2.0 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 di:fc rg5c 6rlt*rectly upwards with twice the initial speed of another, how much higher will it be at ifcl r6*5rt:gc ts apex?

  02.30: A box falls to the ground from a delivery truck tra/t w2rzt g429+l.cm+dtbge khveling at 30 m/s. After hitting the road, it slides 45 meters +mrc 2.zt49h tdg2+k gltb/ewto rest. How long does it take the box to come to rest?

  03.29: An object is thrown upwar .qy p;/p4.5ha7ycgws t gr3qyds with a velocity of 30 m/s near the surface of the earth. After two seconds what would be the direct.qp5.;hrqwcg7 y py4 g3ys/ation of the displacement, velocity and acceleration?
displacement velocity acceleration

  04.10: Three stones of different v+j7 ozt * 2m3wpkcy-m+.o*ewn v,xqf mass (1m, 2m& 3m) are thrown vertically upward with different velocities (1v, 2o*ekqzw,2t +ynmwv+f.ov-j 3* mpc7xv& 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 akiit b-k)k3k 0cf* (/atl2xqgre launched straight upward with identical linear momentum. Object 1q k2g(kci)tkbfxa -/tl30 ik* 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 each b)w4zwq08 dawot mo)1 ika0 -nnounce, 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 wou8kadwm 0 1witw ozo4-nn ))q0ald be the time between the second and third bounce?

  16.21: At 1.94 s after launch, a projectile a6ub6,kjry(w 0yu:phin free fall achieved its minimum speed during flight. If that minimum speed was 15.0yyu bk :aj0(wpru,6 h6 m/s, what was the projectile’s initial angle of launch from the horizontal?

  05.02: A pebble is dropped from a high b-fpezq1,c y .s,e :uwvertical cliff. The collision of the pebble with the ground below is seen 1.50 seconds after the pebble is dropped. With w,wyfucqe 1 .e-zps:b,hat speed did the pebble hit the ground? Ignore air resistance.

  06.03: Three students were arguing about the height of a parking garage. One s 4yto7h5egrvu1d37k j tudent 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 5v1 d7jry7gtkh4 uo 3efall was 1.4 seconds, approximately how tall is the parking garage?

  05.07: A snail is moving along a straight line. Its initial position g3 duhj,2h -s)a ec5pkis x0 = -5 meters and it is moving away from the origin and slowik3) a u jce5,2ghshd-png down. In this coordinate system, the signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravitnty rcvv4: 9;3zc) bzty (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) nec 9nv c:ytzz)vrt;3b4c essary 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 sobdzqo ov/75)+v,g:aw xph(top of a tall tower. Half a second later another rock, twice as massive as tbzawho 7/+5q(g xpo,o)vdv: she first, is dropped. Ignoring air resistance,

  06.18: A cart is initi cy)n.o-iswmq 12e9fxally moving 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. How far does the cart tra.- y w1qnxcfo9me2 i)svel before coming to rest?

  07.11: A cart is initially moving at 0.5 m/s along a tbi,pehi eh;, 9rack. The cart comes to rest after traveling 1 m. The e; ,iieh9b,phexperiment 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 fr2ws)w-9sgihwt7rpd 7h xsf +mv-p98uom rest and runs in a straight line with a constant accelera ht)2-+w9gwmwf8r s-p xd 7s9 vupsh7ition 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 resistance from a heighte adk2-zmbc+8q3lwf / h above the ground. If the ball falls the first distance 0.5h in a time t, how much time is redl+ 8km3 zae2bfc w/q-quired to fall the remaining distance of 0.5h?

  10.38: Two objects both move anz;j8( uwfi/p ed uniformly accelerate to the right. At time t=0,the objects are at the same initial p 8f/ ejupwz;(iosition. 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 traveled in this time T by Object 2 to that traveled by Object 1?

  12.26: An object is throgi 8,qez0 f9g e3kc/jlwn horizontally with speed 10.0 m/s from a height H above the ground. The object reachesjz8f,lg e3ec9g0ikq/ 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 upw1ox ht1qpe ,n29ki: l4ms (zvyard. The object remains in free fall until it returns to its initial launch point. Which one of the following graphs could represent the veloc 2envxm,hl1p (:9iyoqsk4t 1 zity of the object as a function of time during its flight?

  14.03: An object is dropped into free fall. Through how many meters does thb)hw g5 -m+pige object fall- hbp)m ggw+i5 during the first 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50 m to rest across a flat surface icz(d p nq2sz7dwdapqe+*x3,.4v a :evn a time of 12.0 s. What was the initial speed da q7+ zndqza23xd4.p:evc v ,pws*e(of the box when it started its slide?

  14.07: Starting from rest, a c*8p joo7d3hx cart uniformly accelerates to a speed of 7.60 m/s in a time of 3.00 s. Th*8oo jcd37h pxrough 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 sec 4nreuzhx98/wonds 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 carw z4r/e8hn9ux during the five second motion?

  14.17: A toy car initially moves to the right at 60.0 cm/s. F,pelh+ op( 7wkew k:rsb-g 53yuif1 (yive 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,5y w(+r koeiu3e:7pwp- gy(h1 bkl fs best represents the magnitude of the average acceleration of the car during the five second motion?

  14.33: An object moves withzx01itxza:y 6 80wbsu constant acceleration starting 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. Which one of pzu6-ln56 y(e7 ct:/im gmcfof;ka 6sthe following choices best represi(esac nypz mcf6u56 kmf6g7- lt/;o :ents the direction of the object’s acceleration during its flight?

  13.26: An object moving only to the right completes a 20.0 seco/(m95t*hunsff z5num(+mbg 3gcp5b wnd trip in two stages, I and II. The average speed of the entire trip ifgu/5f(pcgum9bzn 5b 3n*( htm+ sw5ms 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 mov: diw17qu+mv ging along a line completes a 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 the rigguv71:iwmd+q ht 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 rest.r1lj(3pyx rjkezwh1/t -6 6zr A ball is launched straight downward with an initial speed of 36 m/s at6zt (rk3jz6xljhyw p/1rr-e1 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 ra0s: vjdp 9 /451ibi xcmm.y s;qv5rswsces with a robot. The robot accelerates at s: w4spcri ms1yqm;vvb.d5xj 0 s/i95$8.50\;m/s^2$ 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 ae(f/wt)h d. 7ldi.wwupward. The vertical position of the ball 0.70 s after relidh7.)( fda lw.e/tw wease 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?