Solve the Problem $\mathrm { r }$ Of a Projectile Is Given By

question 470

Multiple Choice

Solve the problem.
-The range $\mathrm { r }$ of a projectile is given by
$$\mathrm { r } = \frac { 1 } { 32 } \mathrm { v } ^ { 2 } \sin 2 \theta \text {, }$$
where $\mathrm { v }$ is the initial velocity and $\theta$ is the angle of elevation. If $\mathrm { r }$ is to be $8000 \mathrm { ft }$ and $\mathrm { v } = 3000 \mathrm { ft } / \mathrm { sec }$ , what must the angle of elevation be? Give your answer in degrees to the nearest hundredth.

• A) \(1.14 ^ { \circ }\)
• B) \(1.63 ^ { \circ }\)
• C) \(89.19 ^ { \circ }\)
• D) \(0.81 ^ { \circ }\)

---

Definitions:

Groundwater Contamination

The pollution of groundwater systems by pathogens, chemicals, and other harmful substances, compromising water quality and ecosystem health.

Water Table Slope

The gradient or incline of the water table, indicating the direction and rate at which groundwater flows.

Flowing Groundwater

refers to the movement of water through the pores and spaces in soil and rock beneath the Earth's surface.

Plume

1. A rising mass of mostly solid mantle material, thought to be the causal mechanism of a hot spot. 2. A mass of groundwater contamination that spreads out away from the source.