Concept explainers
Time of flight of football.
Answer to Problem 74A
Explanation of Solution
Given:
Velocity of ball is
Time taken to reach the top is 3 s.
Ball is caught at same height.
Ignore air resistance.
Formula Used:
From the equation of motion
Where,
Calculation:
Let the upward direction be positive and downward be negative.
Now, under gravity, equation (1) is modified as
Here,
For maximum height,
So,
As time to go up is 3 s.
So,
Now, for the total time of flight (going up and coming down) the displacement will be zero
i.e.
So, from (2)
i.e. time of flight is double of time taken to reach the top.
So, total time is
Conclusion:
The football is in air for
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