94.01: Starting from rest, object 1 falls freely fc lk,ults8 oru*o4dw9 3 xl1z)or 4.0 seconds, and object 2 falls freely for 8.0 seconds. Compared to objel3*,lw k8cus dou rolxt94)z 1ct 1, object 2 falls:

  94.02: A car starts from rest and un dul2b8gp; q7z2znqxwt5( e,pn .m6au iformly accelerates to a final speed of 20.0 m/s in a time ot62zg 5bqu 8,wanz. nqlpx u7med2p (;f 15.0 s. How far does the car travel during this time?

  94.03: A ball is thrown off a high cliff with no horizontal velocite+ j8fd-lyreqx*z valw0:82 y36waqy y. It lands 6lw *j+68f r3-ay ye:0dyxaw2v lqq8e z.0 s later with a velocity of 40 m/s. What was the initial velocity of the ball?

  95.27: A rocket near thej a t6wi,yj;+-kcn x9b surface of the earth is accelerating vertically upward at x-na;yb6jtc w ij+k9,$10\;m/s^2$. 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 downwards at 3fepv,xg - j-w8cq* 7f8fa0w okeeqg127 m/s at one instant. If it continues to fall, one second later the object would be mpwe 0 cfgfegqfa-e8x 7-ok* w81vq3,joving with a downward velocity closest to:

  95.39: A car starts from rest and a8hhcdl t3kb4 3t6l,tk ccelerates 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 stri,o 1co6eye eo*kes the ground with a speed of 30 m/s. Assume air resistance can be ignored. The height of the building is aecy1 eoeo,6* opproximately:

  97.09: At a certain time, an zlsny*nnk56xz /)o; robject in free fall has velocity 4.0 m/s in the upward direction. What is the approximate velocity of the object one second la;lk r*zy n5 sxonn)/6zter?

  98.14: How long must a u5cr9+ hwb)av.j*r xdh 3vnl62m zhq szcv87* $2.5\;m/s^2$ acceleration act to change the velocity of a 2.0 kg object by 3.0 m/s?

  98.15: A freely falling object ihg-/x-z cr8lss found to be moving downward at 18 m/s. If it continues to fall, two seconds later the object wouxs/g-ch-z 8lr ld be moving with a speed of

  17.02: A small object is rnm q;gy a87.c* ww-:kyxv4fvaeleased from rest and falls freely for 4.00 s until reaching the ground. What was the height above the ground from which the object was relc vfkn;w q xm47wy*gy.a8av:-eased?

  11.06: A ball of mass =0.100 kg is launched straight upward so that it risesa3gxm3 f+d;s k to a maximum height of 12.0 m above the launch point. Ignore air resistax+33k adf;sm gnce. 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 straighg2+uoew cqv3 k3svfb1rpori 6x,x 23zy(nh 12t upward so that it rises to a maximum height of 12.0 m a3 2v,3 e21grif v 1x(6oxh +ucoq3rs2z bknpywbove 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 a c:nv)fm cqg 9v:-i3fan inclined plane has speed 0.40 m/s two seconds after it begins to slide. Approximately how far does it t::acq39fvf )vm- incgravel in three seconds?

  98.40: Coin I is thrown upward from the top of a 100-m tower with a speed of 157;e;;+xfuxu - pclalj m/s. Coin II is dropped (zero initial speed) from the top of thc7lxj- u;;fu; lx+aep e 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 r8kydr,j,u/h2i/s c oupwards with twice the initial speed of another, how much highr, 2y8c/ ih/jkurd o,ser will it be at its apex?

  02.30: A box falls to the ground from a delivery truck traveling at 30 m/s. Afte4 ux6b7swzztrsi0+ 0ar hitting the rasus0tz 7z6iw40+bx road, it slides 45 meters to rest. How long does it take the box to come to rest?

  03.29: An object is thrown upwards with a veoqd e z,*v1.qdi,b.)ecj :dp slocity of 30 m/s near the surface of the earth. After two seconds what would be the direction of the displacement, velocity),: bq,.pcojqdze *1ddiev.s and acceleration?
displacement velocity acceleration

  04.10: Three stones of different mass 6bn ghcq66l4 j7i tesfs8*ky-r 7ash7(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 resistance7hcsthg47r8a 6 s7f*qsy 6-bje i lkn6 is negligible.

  10.25: Two point objects are launched s yp+feq 8 (s*kmvv6jhm5 +e;pbtraight upward with identical linear momentum. Object 1 has mass M and reaches a maximum height H above the launch pv(bpqh5j+*;+6vks8 fmepm y eoint. 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 f19; u8y*se2pet se t d)xyw,bbounces 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 woul19ewx,ey*dfu) sebst2pt;8y d be the time between the second and third bounce?

  16.21: At 1.94 s after launch, a projectile in free fall achieved its minip5zi +k(sd it9mum speed during flight. If that minimum speed was 15.0 m/s, what was the projectile’s initial angle of launch from9sidt+k(pz5i the horizontal?

  05.02: A pebble is dropped fromgpf4v 7wf0zm+ a high vertical cliff. The collision of the pebble with 0vz+ mfw7pf4g the ground below is 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 about the height of32gif1f;eiyor ; k56/suvpb f 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 the time for the ball to fall was 1.4 seconds, approximatelyf; ;y62u5 1ofgierv/3sifkpb how tall is the parking garage?

  05.07: A snail is moving along a straight line. Its initial position is x0 =nj2(vdo x7c:ho8vi()ly 6bd bd1 pt5t -5 meters and it is moving away from the origin and slowing down. In this coordinate system, thb jv:d(( lx ) yd6odcivb8 5tot12nh7pe signs of the initial position, initial velocity and acceleration, respectively, are

  04.38: A small point-like object is pulled downwards by gravity (down the planew+w ) hd+w pf)pg*9ane of the page) but is constrained to exactly follow each of the)wnpp9weg+)wah +*d f 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 drop mw2wff+7*xqn ped from the top of a tall tower. Half a second later another rock, twice as massive as the first, is dropped. Ignoring air resistanc+n 2w*mqxwf7fe,

  06.18: A cart is initially moving at 0.5 m/s alonn:y/);gwum mr g a track. The cart comes to rest after tr u:mrn)m;g/y waveling 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 track. The cart comes t:(g* p w:c7 ldiyzd/ujo rest after traveling 1 m. The experiment is repep/dl:*zi 7cjywug( :dated 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 7fg8f/ h0hd kmcuuu5: with a constant acceleration d:u mhfuhc7gu50fk/ 8 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 resiqn6aq p /g)a,hstance 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.a)6 p g/qah,nq5h?

  10.38: Two objects both move and unz d ;o )* wo;7unz:movl)ab*kniformly accelerate to the right. At time 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 ve nlob ;* oazuzv*mdn) 7o);:kwlocity 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 frogc/b f24t o81xg.g rvwm a height H above the ground. The object reaches the ground wg.bt vc4 o/gg1w2r8f xith 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 object remains in free fall q+vt6- k y vi+ qv36ijzchrh61ha3w4 huntil it returns to its init+qyjkh hrc36+v146zavthv-i3iw qh6 ial 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 dropped1vym;- 7z mre8ay(ll y3uzqr/ into free fall. Through how many meters does the object fall during the l3yy 8mym;a-vq u(7lz/e1rzrfirst 3.00 seconds of flight?

  15.02: A box uniformly slides 7.50r/n ujo,w6 rsmlb6.g3 m to rest across a flat surface in a time of 12.0 s. What was the initial sp l6mb3rwr ,g.nu j/os6eed of the box when it started its slide?

  14.07: Starting from rest, a cart uniformly acc8l7e*hl6zht. x w.mfi elerates to a speed of 7.60 m/s in a time of 3.00 s.xi6mhte.w* .flhl78 z Through what distance does the cart move in this time?

  14.16: A toy car initially moves to the right at 6cradk8ng3.35 oug xbzl3(r4i0.0 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 theinkrgrul3ax gd335(8 b4.z co magnitude of the average velocity of the car during the five second motion?

  14.17: A toy car initially mov (n9x8hkclk e(n -ts(zes 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 c8(tzh( (ksc n-9ln kexar 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 the five second motion?

  14.33: An object moves with constant acceleration starting with velrs99)i3h ahn6a0hbbq xf 7) zrocity $v_0 = 5.00\;m/s$ 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 ,rrvl8x05iygvjpnc5k5a 1 5t;gt5w jis moving upward while in free fall. Which one of the following choices best represents the direction of the object’s acceleration during its fli 5t5, 1x;j0pvn 5lrt8wck5jgg5 ivyraght?

  13.26: An object moving only to the right completes a 20.0 se ejug6zvej9 v(4pa-+ pcond trip in two stages, I and II. The aver 6e+pv u 4jg(j-vzpae9age 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 stage II?

  15.32: An object moving along a line completes a 20.0 second trip with 2urxc, 687v*5l3j vsntch y kvg.yf9e an average speed of 10.0 m/s in two stages. During stage 1, the object7frcj6ugvxy vetky *.l 53,sc2vh89 n 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 smaa wdap +p4 /--k83hsgj, ikrfbll rock is dropped from rest. A ball is launched straight downward with an initiahapajw+ib8 kk 34d, -sr/-gpfl 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 raccwvmsiq1r-mb/oq. b c h l;*3*es with a robot. The robot accelerates at h*m.ob3- * si/qvcm1q wb;l rc$8.50\;m/s^2$ 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 posbyl49ro vv. ;xition of the ball 0.70 s after release is the same as its vertical position 4.10 s after its release. At what timeylx vb49r;o v. is the object first at a vertical position that is one-half of the maximum height it obtains during its flight?