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A cricketer can throw a ball to a maximu...

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

A

`50m`

B

`100m`

C

`150m`

D

`200m`

Text Solution

Verified by Experts

The correct Answer is:
A
Let u be the velocity of projection of the ball. The ball will cover maximum horizontal distance when angle of projection with horizontal, `theta=45^(@)`. Then
`R_(max)=(u^(2))/g`
Here, `R_(max)=100m`
`:. (u^(2))/g=100m`
As `v^(2)-u^(2)=2as`
Here, v=0 (At highest point velocity is zero)
`a=-g, sH uarr+ve`
`:. H=(u^(2))/(2g)=100/2=50` (using (i))
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Knowledge Check

  • A cricketer can throw a ball to a maximum horizontal distance of 200 m. With the same speed how much high above the ground can the cricketer throw the same ball?

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