Mechanics Chapter 11 Variable Acceleration

Question 1

If the displacement is expressed as a function of t, what can the velocity be expressed as?

Answer 1

v = ds/dt (the derivative)

Question 2

If the velocity is expressed as a function of t, what can the acceleration be expressed as?

Answer 2

a = dv/dt (the derivative of the velocity function) or d2s/dt2 (the second derivative of the displacement function)