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 of a projectile is given by:$$R = \frac{v^2 \sin 2\theta}{g}$$where:* $v$ is the initial speed of the projectile* $\theta$ is the angle of elevation* $g$ is the acceleration due to gravityPlugging in the given values, we get:$$R = \frac{(700 \mathrm {~m} / \mathrm { s })^2 \sin 2(60 ^ { \circ })}{9.81 \mathrm {~m} / \mathrm { s }^2} \approx 43.3 \mathrm {~km}$$Therefore, the correct answer is A.

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 $700 \mathrm {~m} / \mathrm { s }$