If a Projectile Is Fired with an Initial Velocity Of v

question 47

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) \(t = 224 \mathrm {~s}\)

Understand the distinction between situationism and dispositionism.

Identify factors influencing friendship and romantic relationship formation.

Describe the concept and main features of the jigsaw classroom.

Comprehend the concept of empathy and its significance in interpersonal relations.

---

Definitions:

\(- 1\)

A numeric value that is one less than zero, often representing the inverse of a quantity.

\(n + 7\)

An algebraic expression representing the sum of an unknown quantity \(n\) and the number 7.

\(n + 8\)

An algebraic expression representing the sum of a variable n and the number 8.

\(n !\)

\(n !\), pronounced n factorial, is the product of all positive integers less than or equal to n. For instance, \(4! = 4 \times 3 \times 2 \times 1 = 24\).