Rectilinear Motion

mathland · 2021-05-04 17:47:02

Rectilinear Motion An object moves in rectilinear motion so
that at time t ≥ 0 seconds, its distance from the origin is
s(t) = sin (e^t) , in feet.

(a) Find the velocity v and acceleration a of the object at any
time t.

(b) At what time does the object first have zero velocity?

(c) What is the acceleration of the object at the time t found
in (b)?

For part (a), I must find s'(t). Yes?

For part (b), I must set s'(t) to 0 and solve for t. Yes?

For part (c), I must find a(t) and evaluate a(t) at the t-value
found in part (b). Yes?

zetafunc · 2021-05-04 18:56:53

For part (a) you're asked to determine the acceleration in terms of t, so you'll also need to calculate s''(t).

Other parts are correct.

mathland · 2021-05-04 23:46:43

zetafunc wrote:

For part (a) you're asked to determine the acceleration in terms of t, so you'll also need to calculate s''(t).
Other parts are correct.

Ok. Cool. Good questions. Great replies.

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