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?

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Definitions:

Neuron

A specialized cell transmitting nerve impulses; a nerve cell.

Synaptic Vesicle

a small, spherical sac containing neurotransmitters, found in the nerve endings, crucial for transmitting signals between neurons.

Myelin

A fatty substance that surrounds neurons' axons, facilitating faster transmission of electrical signals.

Receptor Site

A receptor site is a specific location on a cell surface where certain molecules, such as hormones or neurotransmitters, bind to trigger a change in the cell's function or activity.