2 part question

Question

a particle moves according to the position function s(t)=e^(3t)sin(4t)

1. find the velocity of the function
2. find the acceleration of the function

Answer 1

It looks like you have been given an equation for distance as a function of time.

Note that velocity is the first derivative of distance and acceleration is rhe 2nd derivativ,, If we have d(t) = distance as a function ot time, then v(t ) d/dt (d(t),and a(t)= d/dt (v(t)

We can also use this notation for the derivative:

If d(t) is the distance, then d' is the velocity, and v' is the acceleration.