Question

If the time of flight of a projectile is doubled, what happens to the maximum height attained?

• A. Halved
• B. Remains unchanged
• C. Doubled
• D. Becomes four times

Answer 1

The correct option is D Becomes four times

We know that $H=\frac{u^2{\sin }^2\theta }{2g}$

and $T=\frac{2u\sin \theta }{g}$.

From these two equations, we get
$H=\frac{g{T}^2}{8}$.

So if $T$ is doubled, $H$ becomes four times.