Concept explainers
(a)
The direction of the binomial pathat
Answer to Problem 11.181P
Explanation of Solution
Given information:
According to problem
The first derivative of motion is equal to velocity
The first derivative of velocity is equal to acceleration
Calculation:
According to the given information,
Substitute,
Differentiate to find the velocity,
Differentiate to find the acceleration,
We know that,
At
Then,
Find,
Therefore,
According to the above result,
Therefore,
Conclusion:
The direction of binomial path at
(b)
The direction of the binomial path at
Answer to Problem 11.181P
Explanation of Solution
Given information:
According to problem
The first derivative of motion is equal to velocity
The first derivative of velocity is equal to acceleration
Calculation:
According to the given information,
Substitute,
Differentiate to find the velocity,
Differentiate to find acceleration,
We know that,
At
Therefore,
Then,
Now substitute to find,
Then,
Finally we get,
Conclusion:
The direction of binomial path at
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Chapter 11 Solutions
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