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28 October, 02:16

A car moves along a circular track of radius 250 ft such that its seed for a short period of time 0<_ t <_ 4s, is v = 3 (t - t^2) ft/s, where t is in seconds.

a. Determine the magnitude of its acceleration when t = 3s.

b. How far has it traveled in t = 3s?

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  1. 28 October, 02:30
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    Answer: a) - 5 ft/s²

    B) 4.5 ft

    Explanation: Radius = 250ft

    Velocity V = 3 (t-t²) ft/s

    A). When t = 3 s, the acceleration is

    dv/dt = 1-2t

    dv/dt = 1 - 2 (3)

    = 1-6

    = - 5 ft/s²

    B. How far it traveled in 3 sec

    Distance = 3t²/2 - t³/3 ft

    Substituting 3

    Distance = 27/2 - 9

    = 13.5 - 9

    = 4.5 ft
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