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Trajectory Formula

A projectile is an object that is given an initial velocity, and is acted on by gravity. The path the object follows is called its trajectory. The trajectory has horizontal (x) and vertical (y) position components. If a projectile is launched with an initial velocity v0, at an angle θ from the horizontal plane, then its vertical position can be found from its horizontal position using the following formula. The units of horizontal and vertical position are meters (m).

y = vertical position (m)

x = horizontal position (m)

v0 = initial velocity (combined components, m/s)

g = acceleration due to gravity (9.80 m/s2)

θ = angle of the initial velocity from the horizontal plane (radians or degrees)

Trajectory Formula Questions:

1) A baseball player hits a ball, sending it away from the bat at a velocity of 45.0 m/s, and an angle of 66.4° relative to the field. In the ball’s direction of travel, the end of the field is 140.0 m away. What is the height of the ball when it reaches the end of the field?