An electric car is subjected to acceleration tests along a straight and level test track. The resulting v-t data are closely modeled over the first 10 seconds by the function v = 24t - t2 +5t1/2, where t is the time in seconds and v is the velocity in feet per second. Determine the displacement s as a function of time over the interval 0 ≤ t ≤ 10 sec and specify its value at the indicated times.

Automotive Technology: A Systems Approach (MindTap Course List)
6th Edition
ISBN:9781133612315
Author:Jack Erjavec, Rob Thompson
Publisher:Jack Erjavec, Rob Thompson
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An electric car is subjected to acceleration tests along a straight and level test track. The resulting v-t data are closely modeled over the first 10 seconds by the function v = 24t - t2 +5t1/2, where t is the time in seconds and v is the velocity in feet per second. Determine the displacement s as a function of time over the interval 0 ≤ t ≤ 10 sec and specify its value at the indicated times.

 

 

.
v, ft/sec
160
140
120
100
80
60
40
20
OF
Answer:
2
Att = 3.1 sec,
Att = 4.9 sec,
Att = 7.9 sec,
At t= 10.0 sec,
S=
S=
t, sec
S= i
S=
i
i
i
6
8
10
ft
ft
ft
ft
Transcribed Image Text:. v, ft/sec 160 140 120 100 80 60 40 20 OF Answer: 2 Att = 3.1 sec, Att = 4.9 sec, Att = 7.9 sec, At t= 10.0 sec, S= S= t, sec S= i S= i i i 6 8 10 ft ft ft ft
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