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

Define what constitutes a group in social psychology.

Identify the effects of group size on individual behavior and decision-making.

Understand group dynamics including roles, communication structure, and power structure.

Analyze the influence of culture on conformity and obedience.

---

Definitions:

Mental Disorder

A condition that affects a person's thinking, feeling, behavior, or mood, significantly interfering with daily life.

Fit To Stand Trial

The legal determination that a defendant has the mental competency to understand the charges against them and participate in their defense during a court trial.

Cognitive Capacity

The total amount of information the brain is capable of retaining and processing.

IQ

Short for Intelligence Quotient, a measure of a person's intellectual abilities in relation to their age group.