A cricketer can throw a ball to a maximum horizontal distance of . How much high above the ground can the cricketer throw the same ball?
Step 1: Given
The distance the cricketer can throw the ball horizontally,
Step 2: Formulas used
For a projectile motion, we know that the range (horizontal distance covered) is given as,
where is the initial velocity, is the angle at which object was thrown at and is the acceleration due to gravity.
And the maximum height reached is given as,
where the symbols mean the same as described earlier.
Step 3: Calculating height
We know that the maximum horizontal distance is covered when .
So we have,
We also have that,
Therefore, the maximum height the cricketer can throw the ball is .