Final answer:
The derivative of the function calculator with respect to time, which is the magnitude of instantaneous velocity, is equal to the instantaneous speed. Therefore, the statement is true.
Step-by-step explanation:
(a) We take the first derivative with respect to time of the velocity function to find the acceleration. The derivative is taken component by component:
(b) False. The magnitude of instantaneous velocity is the absolute value of the instantaneous velocity, which is equal to instantaneous speed. So, the magnitude of instantaneous velocity can never be greater than instantaneous speed.