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Unformatted text preview: Page 2 of 6 1 Professor L B Overholt is returning home after running some errands His position relative to campus is described by the function 5 = 6t3 ~12r + 8 where the position is measured in feet and the time in
minutes What is Professor Overholt's velocity at t=12 0 minutes? 2 Betsy brings her new remote control Mini—Me Mini Cooper into Estabrook 111 We set up a start and '
finish line exactly 50 0 ft apart We give the MMMC a running start and measure its velocity at the starting
line to be +45 1 ft/sec Wow! it crosses the finish line 1 ‘50 seconds later Assuming constant acceleration, what was the acceleration of the Mini Cooper?
(‘2) “Jr‘fgtﬂ? ages; $o0f+€lt ‘2} MC}. 52* {smarts I ‘\ .r'“ {33.32: 2 (tosgiraosﬁ) ‘51”: bi?) 9"  .é Mg _ { “AZ. “.3; M $3! 4/ it}! (fr EggE Constant Acceleration Equations: 2 2
v —v
sz=sl+[v1+v2]Ar 82 = 51+ VIAI + i—aAr2 52=sl+ 2 1 v2=v1+aAt
2 2a Page 3 of 6 3,4 Sketch the velocity and acceleration graphs for the following moving car scenario
You must show your work when calculating the appropriate velocity and acceleration values A. Start at velocity of 40 mph. B Accelerate at a constant rate of +5 mph/second for 10 seconds
0 Travel at a constant speed for 20 seconds D Slow down to a stop at a constant rate in 5 seconds 50
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52=5l+[1 v2JAt 32 = 51+ let+ é—aAﬁ 52=sl+ 2 1
2 Page 4 of 6 5 Paul Karakashian’s average speed is known to be 2.50 mph After drinking four Red Bull energy drinks,
he rides his bike for 1/4 mile at 15 mph How long must he stand still to maintain his average speed? :7 ir tn: A—iﬁh: :: big35hr”;
O‘Oﬁg‘) r. “ﬂee [gm/iii” P = A3 a Mi. 5 I \
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' in 3 00 seconds and then maintains a constant veiocity forthe rest of the race What was her time for the
race?
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52=sl+["1:v2]m S2 = 51+V1At+ é—aAt2 52=si+vzzav1 v2=vl+aAt Page 5 of 6 7‘ An accident reconstructionist measures the skid marks of a 4350 lb car to be 105 ft Assume that the
brakes of the car can slow the car down at a constant rate of 9.0 ft.’sec2 and that the car comes to a
complete stop without hitting anything How fast was the car going when it started skidding? 8‘ A rocket ship in outer space has a velocity of 2 15 km/s How long would it take to slow the rocket
down to 055 km/s if its reverse thrusters produce a constant acceleration of —2 85g? (A): a. $7.13 $34.. Uls‘mﬁ ‘DOMilliﬂm
mt «Summit«3 ‘Wn i“ “*1 (orgasm ma.) 5., 4) usual 1\St>t5$'o (935.25“)
U5‘nn‘1 a: Lust“:A as 2:37:318t “)5? Constant Acceleration Equations? 2 2
v+ v —v
5 =5 + .1 V2 At 52 — 51+ VlAI‘i' —; aAl‘z 52—51 2 1 v2_vl aAt
2 1 2 20 __.__u. ._..._ u__._ r Page 6 of 6 9 Patrick climbs to the top of the 132 ft tall crane outside of Estabrook and throws a tennis ball straight up
with a velocity of 24 0 this What is the velocity of the tennis ball just before it hits the ground? Neglect
air resistance and use a coordinate system with positive being up _:i (an Si:on
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t}\32\(~"‘a?~1\)'24 10. The tennis be]! of the previous problem hits and bounces off the ground The time from when it
bounces off the ground until it hits the ground again is 2.78 seconds” How high did it bounce? (hint: you
do not need any information from the previous problem to calculate this answer) sir. .i
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ENDOF TEST!
Be sure to double check your work..
Don’t forget units, significant digits, vector directions, etci.
Constant Acceleration Equations:
+ v2 —v2
52:51+[v12v2]m 52 = sl+ler+;—aAt2 52=sl+ 22 1 v2=v1+aAr
a ...
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 Spring '05
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