The Equation of motion of a particle is s = 1/4t^4-2e^t-t, where s is in meters and t in seconds.

Question

The Equation of motion of a particle is s = 1/4t^4-2e^t-t, where s is in meters and t in seconds.

 

a. Find the velocity and acceleration as functions of t. 

 

B. Find the initial acceleration, i.e, find the acceleration at time t=0

 

Answer 1

(A)

v(t) = ds/dt

You have the function s(t).  Just take the derivative.  Once you have v(t), differentiate again and get

 

a(t) = dv/dt

 

(B)

 

Evaluate a(0).