SOLUTION: The displacement of a body from the origin O, at time t seconds is x = −1−4 t^3+8 t^2+t metres Find the velocity and acceleration when t = 3. velocity (m/s):

Question 988127: The displacement of a body from the origin O, at time t seconds is
x = −1−4 t^3+8 t^2+t metres
Find the velocity and acceleration when t = 3.
velocity (m/s):
acceleration (m/s^2)
I think I need to differentiate, but I'm unsure
THANK YOU
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Yes, you do need to differentiate.
Velocity is the first derivative of displacement with respect to time and acceleration is the second derivative.

When ,

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SOLUTION: The displacement of a body from the origin O, at time t seconds is x = &#8722;1&#8722;4 t^3+8 t^2+t metres Find the velocity and acceleration when t = 3. velocity (m/s):

SOLUTION: The displacement of a body from the origin O, at time t seconds is x = −1−4 t^3+8 t^2+t metres Find the velocity and acceleration when t = 3. velocity (m/s):