The Path of a Projectile Projected Horizontally with a Velocity $x ^ { 2 } = - \frac { v ^ { 2 } } { 16 } ( y - s )$

question 508

Multiple Choice

The path of a projectile projected horizontally with a velocity of v feet per second at a height of s feet, where the model for the path is $x ^ { 2 } = - \frac { v ^ { 2 } } { 16 } ( y - s )$ .In this model (in which air resistance is disregarded) , y is the height (in feet) of the projectile and x is the horizontal distance (in feet) the projectile travels.A ball is thrown from the top of a 150-foot tower with a velocity of 32 feet per second.Find the equation of the parabolic path.

• A) \(x ^ { 2 } = - 32 ( y - 150 )\)
• B) \(x ^ { 2 } = 64 ( y - 150 )\)
• C) \(x ^ { 2 } = 1406 ( y - 32 )\)
• D) \(x ^ { 2 } = - 1406 ( y - 32 )\)
• E) \(x ^ { 2 } = - 64 ( y - 150 )\)

---

Definitions:

Operant Conditioning

An approach to learning in which behavior strength is shaped by either reinforcing positive actions or administering punishments.

Successive Approximations

A technique in behaviorism used to train a new behavior by rewarding actions that are progressively closer to the desired behavior.

Rewards

Positive reinforcements that encourage certain behaviors by providing a desirable outcome or benefit when those behaviors are performed.

Shaping

A method used in behavioral psychology to gradually teach a new behavior through reinforcement of successive approximations to the desired behavior.