A cyclist moves along a straight road such that the acceleration profile along the road is shown. The cyclist has an initial velocity of 5 ft/s corresponding to s = 0. Draw the v-s curve for the cyclist. Determine the velocity of the cyclist where s = 315 а.) ft b.) Calculate the time when the cyclist reaches s = 91.165 ft g = 9.81 m/s = 32.2 ft/s? a-s curve 2 1.5 1 0.5 50 100 150 200 250 300 350 400 -0.2 -0.5 -0.6 -1 s(ft) a(ft/s?)

University Physics Volume 1
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Chapter3: Motion Along A Straight Line
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Solve this problem correctly.
A cyclist moves along a straight road such that the acceleration profile along the road is shown.
The cyclist has an initial velocity of 5 ft/s corresponding to s 0.
a.)
Draw the v-s curve for the cyclist. Determine the velocity of the cyclist where s = 315
ft
b.)
Calculate the time when the cyclist reaches s =
91.165 ft
g = 9.81 m/s? = 32.2 ft/s?
a-s curve
2
1.5
1
0.5
5p
100
150
200
250
3d
350
400
-0.2
-0.5
-0.6
-1
s(ft)
(s/4)e
Transcribed Image Text:A cyclist moves along a straight road such that the acceleration profile along the road is shown. The cyclist has an initial velocity of 5 ft/s corresponding to s 0. a.) Draw the v-s curve for the cyclist. Determine the velocity of the cyclist where s = 315 ft b.) Calculate the time when the cyclist reaches s = 91.165 ft g = 9.81 m/s? = 32.2 ft/s? a-s curve 2 1.5 1 0.5 5p 100 150 200 250 3d 350 400 -0.2 -0.5 -0.6 -1 s(ft) (s/4)e
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