Question
The ranges and heights for two projectiles projected with the same initial velocity at angles $42^{\circ}$ and $48^{\circ}$ with the horizontal are ${R}_{1}, {R}_{2}$ and ${H}_{1}$, ${H}_{2}$ respectively. Choose the correct option:
✓
Answer
Range ${R}=\frac{{u}^{2} \sin 2 \theta}{{g}}$ and same for $\theta$ and $90-\theta$
So same for $42^{\circ}$ and $48^{\circ}$
Maximum height ${H}=\frac{{u}^{2} \sin ^{2} \theta}{2 {g}}$
${H}$ is high for higher $\theta$
So ${H}$ for $48^{\circ}$ is higher than ${H}$ for $42^{\circ}$
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