Question

Two projectiles A and B are projected with angle of projection ${15}^0$ for the projectile A and ${45}^0$ for the projectile B. If $R_A$ and $R_B$ be the horizontal range for the two projectiles, then

• A. $R_A<R_B$
• B. $R_A=R_B$
• C. $R_A>R_B$
• D. the information is insufficient to decide the relation of $R_A$ with $R_B$

Answer 1

The correct option is A $R_A<R_B$

We know that in projectile motion , Range is given by:

$R=\frac{u^{2}sin2\theta }{g}$ (where $u$ = initial velocity)

Here, we have ${\theta }_1={15}^o$ and ${\theta }_2={45}^o$

$sin2{\theta }_1=\frac{1}{2}$ and $sin2{\theta }_2=1$

$\Rightarrow$ $R_A<R_B$