Question

The maximum range of a projectile is $100\,m$ . The maximum height reached by it is

• A. $100\,m$
• B. $25 \,m$
• C. $200 \,m$
• D. $75 \,m$

Answer 1

Answer: (B)

$25 \,m$

Answer 2

$R_{\max }=\frac{u^{2}}g=100\,m$
The range of the projectile is maximum for the angle of projection $\theta =45^{\circ}$ .
When the range is maximum the height attained by a projectile is,
$H=\frac{u^{2}}4{\,g}=\frac{100}{4}=25\,m$