(a) If the position of a particle is given by x " 20t $ 5t

Chapter , Problem 20

(choose chapter or problem)

(a) If the position of a particle is given by \(x=20 t-5 t^{3}\), where x is in meters and t is in seconds, when, if ever, is the particle’s velocity zero?

(b) When is its acceleration a zero?

(c) For what time range (positive or negative) is a negative?

(d) Positive?

(e) Graph x(t), v(t), and a(t).

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