A projectile is fired with an initial speed of $700 \mathrm {~m} / \mathrm { s }$ and angle of elevation $60 ^ { \circ }$. Find the range of the projectile.
A) $d \approx 43.3 \mathrm {~km}$
B) $d \approx 433 \mathrm {~km}$
C) $d \approx 350 \mathrm {~km}$
D) $d \approx 63.3 \mathrm {~km}$
E) $d \approx 53.3 \mathrm {~km}$

Question

Quizplus · Accepted Answer

The range $d$ of a projectile fired at an angle $\theta$ with initial speed $v$ is given by the formula $d = \frac{v^2}{g} \sin 2\theta$, where $g$ is the acceleration due to gravity ($9.8 \mathrm{m/s}^2$). For $v = 700 \mathrm{m/s}$ and $\theta = 60^\circ$, $d = \frac{(700)^2}{9.8} \sin 120^\circ \approx 43.3 \mathrm{km}$.

A Projectile Is Fired with an Initial Speed Of 700 m/s700 \mathrm {~m} / \mathrm { s }700 m/s

A Projectile Is Fired with an Initial Speed Of $700 \mathrm {~m} / \mathrm { s }$