Question

A cricketer can throw a ball to a maximum horizontal distance of 100 m. With the same effort, he throws the ball vertically upwards. The maximum height attained by the ball is :

• A. 100 m
• B. 80 m
• C. 60 m
• D. 50 m

Answer 1

The correct option is D 50 m

We know that horizontal range is maximum if the angle of projection is 45o and is given by

Rmax = u2 / g

Here, Rmax = 100 m

so, u2 / g = 100 m

If the cricketer throws the ball vertically upwardthen the ball will attain the maximum height from the ground

Hmax = u2 / 2g = 100 /2 = 50 m.