?The equation of motion of a particle is s = t3 - 3t, where s is in meters and t is in

Chapter 2, Problem 53

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

The equation of motion of a particle is s = t3 - 3t, where s is in meters and t is in seconds. Find

(a) the velocity and acceleration as functions of t,

(b) the acceleration after 2 s, and

(c) the acceleration when the velocity is 0.

Questions & Answers

QUESTION:

The equation of motion of a particle is s = t3 - 3t, where s is in meters and t is in seconds. Find

(a) the velocity and acceleration as functions of t,

(b) the acceleration after 2 s, and

(c) the acceleration when the velocity is 0.

ANSWER:

Step 1 of 6

a)Remember that : Velocity is derivative of displacement

That means

We used the power rule to differentiate, which states that :

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back