A cricketer can throw a ball to a maximum horizontal distance of 100 m. How much high above the ground can the cricketer throw the same ball.

+1 vote
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asked Mar 3, 2018 in Physics by shabnam praween (19,050 points) 5 6 8

A cricketer can throw a ball to a maximum horizontal distance of 100 m. How much high above the ground can the cricketer throw the same ball?

1 Answer

+2 votes
answered Mar 3, 2018 by mdsamim (213,225 points) 5 10 15
selected Mar 3, 2018 by shabnam praween
 
Best answer

Maximum horizontal distance, R = 100 m
The cricketer will only be able to throw the ball to the maximum horizontal distance when the angle of projection is 45°, i.e., θ = 45°.
The horizontal range for a projection velocity v, is given by the relation:

The ball will achieve the maximum height when it is thrown vertically upward. For such motion, the final velocity v is zero at the maximum height H.
Acceleration, a = –g
Using the third equation of motion:

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