Concept explainers
(a)
Maximum height that can be reached by stone.
(a)
Answer to Problem 62P
Maximum height is
Explanation of Solution
Initial speed is
Write the Newton’s equation for an object moving vertically upwards.
Here, the velocity at the highest point of motion is
Conclusion:
Substitute
Rewrite the above relation in terms of
(b)
Total time taken by the stone for its whole journey before reaching the ground.
(b)
Answer to Problem 62P
Time taken is
Explanation of Solution
Initial speed is
Write the equation for time taken by the stone to reach the maximum height.
Here, the time taken by stone for its upward motion is
Write the equation for time taken by the stone for its downward motion.
Here, the time taken by stone for its downward motion is
Write the equation for total time taken by stone for its whole travelling before reaching he ground.
Here, the total time taken is
Conclusion:
Substitute
Substitute
Substitute
Therefore, the time taken is
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