CPM Homework Help : PC Problem 9-155

A small cart travels a distance of 0.1t³ feet in the first t seconds of travel for 0 ≤ t ≤ 10. Homework Help ✎
1. Find its velocity after 5 seconds.
2. Find its velocity after t seconds.

Hint (a):

First find the slope function.

$\lim_{ h \to 0} \frac{f(t+h)-f(t)}{t+h-t}$

Then find d′(5).

Answer (a):

$7.5 \frac{\text{ft}}{\text{sec}}$

Hint (b):

This is the slope function found above.