If a Projectile Is Fired with an Initial Velocity Of v

question 147

Multiple Choice

If a projectile is fired with an initial velocity of $v _ { 0 }$ meters per second at an angle $\alpha$ above the horizontal and air resistance is assumed to be negligible, then its position after $t$ seconds is given by the parametric equations
$$x = \left( v _ { 0 } \cos \alpha \right) t , y = \left( v _ { 0 } \sin \alpha \right) t - \frac { 1 } { 2 } g t ^ { 2 }$$
where $g$ is the acceleration of gravity $\left( 9.8 \mathrm {~m} / \mathrm { s } ^ { 2 } \right)$ . If a gun is fired with $\alpha = 55 ^ { \circ }$ and $v _ { 0 } = 440 \mathrm {~m} / \mathrm { s }$ when will the bullet hit the ground?

• A) \(t = 244 \mathrm {~s}\)
• B) \(t = 74 \mathrm {~s}\)
• C) \(t = 344 \mathrm {~s}\)
• D) \(t = 124 \mathrm {~s}\)
• E) \(t = 224 \mathrm {~s}\)

---

Definitions:

More Intense

Having a greater degree of strength, severity, or concentration for a particular feeling, situation, or characteristic.

Panic Disorder

A psychiatric disorder characterized by sudden and repeated episodes of intense fear accompanied by physical symptoms like chest pain, heart palpitations, or shortness of breath.

Dizzy Spells

Dizzy spells are episodes of dizziness or lightheadedness that can result from a variety of causes, including dehydration, low blood pressure, or inner ear disorders.

Racing Heart

An increase in heart rate that is often perceived as heartbeats that are faster than normal.