Suppose that the position of a particle as a function of time (in seconds)is given by the formula s(t) = 4 + 6 t^{4} - t^{6}, t 0.

a) The time at which the velocity is zero is x seconds?

(b) The time at which the acceleration is zero is x seconds?

(c) The time at which the velocity is maximum is x seconds?

Question

Suppose that the position of a particle as a function of time (in seconds)is given by the formula s(t) = 4 + 6 t^{4} - t^{6}, t > 0.

a) The time at which the velocity is zero is x seconds?

(b) The time at which the acceleration is zero is x seconds?

(c) The time at which the velocity is maximum is x seconds?

anonymous · Answer

if s(t) is position, s'(t) is velocity and s''(t) is acceleration.

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