Question

No links please, PLEASE HELP NOW!!!

I just don’t understand how to do this problem


(A) Find the velocity and acceleration as functions of t.

Velocity, in meters per second at time t: _____

Acceleration, in meters per second, per second, at time t: _____

(B) Find the acceleration after 1 second.

Acceleration, in meters per second, per second, after 1 second: ____

(C) Find the acceleration at the instant when the velocity is 0.

Acceleration, in meters per second, per second: ____

Answer 1

Below in bold.

Explanation:

(A). s = (1/3)t^3 - 3t^2 + 9t + 7

To find the velocity at time t we find the derivative:

V = ds/dt = 3*1/3 t^2 - 3*2t + 9

V = t^2 - 6t + 9,

Acceleration is found by finding the derivative of the velocity:

A = 2t - 6.

(B). Acceleration after 1 second = 2(1) - 8

= -6 ms^-2.

(C). When V = 0

acceleration = 0 ms^-1.