Concept explainers
To find the velocity and acceleration at time t of a point moving on coordinate line along the position function
Answer to Problem 1E
Explanation of Solution
Given:
Given function:
Interval:
Concept used:
To find the velocity of particle, differentiate the position function with respect to time.
To find the acceleration of a particle, differentiate the velocity function with respect to time.
Calculation:
Differentiate with respect to t,
Differentiate with respect to t,
Description about motion of the point:
In the interval
It means, the point decreases its velocity initially and then increases.
In the interval
Conclusion:
Therefore, the velocity of point is
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Chapter 4.7 Solutions
Calculus : The Classic Edition (with Make the Grade and Infotrac)
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage