If a Projectile Is Fired with an Initial Velocity Of v

question 133

Short Answer

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?

Apply the midpoint formula to calculate elasticity.

Interpret the significance of elasticity values in economic decision-making.

Understand the relationship between Maslow's hierarchy of needs and other motivational theories like McClelland's theory of needs.

Compare and analyze different theories of motivation including Maslow's, McClelland's, and self-determination theory.

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Platforms or scenarios where goods, services, or ideas are traded between parties.

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Connections or relationships between individuals or entities that facilitate social, professional, or academic interactions.

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Gatherings or events where people with similar interests meet in person or virtually to share, discuss, or engage in activities.

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The practice of obtaining information, ideas, or content by soliciting contributions from a large group of people, especially from an online community.