13 Nov 2021
Problem 4i
Page 237
Section 3.8: Rates of Change in the Natural and Social Sciences
Chapter 3: Differentiation Rules
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13 Nov 2021
Given information
- Given : A particle moves according to a law of motion .
- To find : When is the particle speeding up? When is it slowing down?
Step-by-step explanation
Step 1.
First find when the acceleration is positive. Just by looking at the graph we just made.
We can see that the acceleration is in the positive quadrant on the range .
So, the acceleration is positive in the range .
Therefore we also know it is negative for .