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If a Projectile Is Fired with an Initial Velocity Of v

question 47

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If a projectile is fired with an initial velocity of v0v _ { 0 } meters per second at an angle α\alpha above the horizontal and air resistance is assumed to be negligible, then its position after tt seconds is given by the parametric equations
x=(v0cosα) t,y=(v0sinα) t12gt2x = \left( v _ { 0 } \cos \alpha \right) t , y = \left( v _ { 0 } \sin \alpha \right) t - \frac { 1 } { 2 } g t ^ { 2 } where gg is the acceleration of gravity (9.8 m/s2) \left( 9.8 \mathrm {~m} / \mathrm { s } ^ { 2 } \right) . If a gun is fired with α=55\alpha = 55 ^ { \circ } and v0=440 m/sv _ { 0 } = 440 \mathrm {~m} / \mathrm { s } when will the bullet hit the ground?

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Definitions:

Variable Ratio Schedule

A reinforcement strategy in behaviorism where a response is reinforced after an unpredictable number of responses, making it very powerful in maintaining behavior.

Variable Interval Schedule

A reinforcement schedule in operant conditioning where a response is rewarded after an unpredictable amount of time has passed, enhancing response consistency.

Fixed Interval Schedule

A type of conditioning schedule where a reward or reinforcement is administered after a set period of time has passed, assuming the required response has been made.

Continuous Reinforcement

A method of learning that involves giving a reward after every correct response in order to reinforce the desired behavior.

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