Horizontal Range | MCQs

Explanation

When a man throws a ball to the maximum height (h), the initial velocity (v₀) is entirely vertical.

The maximum height (h) is given by:

h = v₀² / (2g)

where g is the acceleration due to gravity.

Now, when the man throws the same ball to the maximum horizontal distance, the initial velocity (v₀) is entirely horizontal.

The maximum horizontal distance (R) is given by:

R = v₀² / g

Substituting the expression for v₀² from the first equation:

R = 2h