Question

How to find the maximum magnitude of acceleration by

A) Differentiating the velocity function
B) Integrating the displacement function
C) Solving a quadratic equation
D) Measuring the speed

Answer 1

To find the maximum magnitude of acceleration, you can use different approaches such as differentiating the velocity function, integrating the displacement function, or measuring the speed.

Step-by-step explanation:

To find the maximum magnitude of acceleration, we can use different approaches:

1. A) Differentiating the velocity function: Take the first derivative of the velocity function with respect to time to find the acceleration. The maximum magnitude of acceleration occurs at the point where the derivative is zero or undefined.
2. B) Integrating the displacement function: Find the area under the line in the velocity vs. time graph to determine the displacement. The maximum magnitude of acceleration occurs when the velocity vs. time graph has its steepest slope.
3. D) Measuring the speed: Compare the velocity and acceleration at each time to determine the maximum magnitude of acceleration. The maximum magnitude of acceleration occurs when the velocity and acceleration are in the same direction.