20 Dec 2021
Problem 46a
Page 182
Section: 3.1 Derivatives of Polynomials and Exponential Functions
Chapter 3: Differentiation Rules
Textbook ExpertVerified Tutor
20 Dec 2021
Given information
Given The equation of motion of a particle is
where is in meters and is in seconds.
Step-by-step explanation
Step 1.
- the equation of motion of a particle, is in meters, and is in seconds.
We need to find the velocity and acceleration as functions of .
The velocity is the first derivative of position, and the acceleration is first derivative of velocity.
Therefore, applying The Power Rule and The Constant Multiple Rule, we obtain:
Hence, the velocity is
and the acceleration is