(a)
The satellite’s instantaneous velocity at point C.
(a)
Answer to Problem 90P
The satellite’s instantaneous velocity at point C is
Explanation of Solution
Write an expression to calculate the satellite’s instantaneous velocity at point C.
Here, the satellite’s instantaneous velocity at point C is
Conclusion:
Substitute
Thus, the satellite’s instantaneous velocity at point C is
(b)
The satellite’s average velocity for one quarter of an orbit, starting at A and ending at B.
(b)
Answer to Problem 90P
The satellite’s average velocity for one quarter of an orbit, starting at A and ending at B is
Explanation of Solution
Write an expression to calculate the satellite’s average velocity for one quarter of an orbit, starting at A and ending at B.
Here, the satellite’s average velocity for one quarter of an orbit, starting at A and ending at B is
Conclusion:
Substitute
Thus, the satellite’s average velocity for one quarter of an orbit, starting at A and ending at B is
(c)
The satellite’s average acceleration for one quarter of an orbit starting at A and ending at B.
(c)
Answer to Problem 90P
The satellite’s average acceleration for one quarter of an orbit starting at A and ending at B is
Explanation of Solution
Write an expression to calculate the satellite’s average acceleration for one quarter of an orbit starting at A and ending at B.
Here, the satellite’s average acceleration for one quarter of an orbit starting at A and ending at B is
Conclusion:
Substitute
Thus, the satellite’s average acceleration for one quarter of an orbit starting at A and ending at B is
(d)
The satellite’s instantaneous acceleration at point D.
(d)
Answer to Problem 90P
The satellite’s instantaneous acceleration at point D and
Explanation of Solution
Write an expression to calculate the satellite’s instantaneous acceleration at point D.
Here, the satellite’s instantaneous acceleration at point D is
Conclusion:
Substitute
Thus, the satellite’s instantaneous acceleration at point D and
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