"Challenge Yourself"

Conceptual Basics

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The curved path followed by a projectile as it moves through the air.

Trajectory (Specifically, a parabola)

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The only force acting on a projectile (neglecting air resistance).

Gravity

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The horizontal distance covered by a projectile from its starting point to its landing point.

Range

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The numerical value of acceleration due to gravity on Earth (with units).

9.8 m/s ²

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An object that is thrown, kicked, or launched into the air and is subject only to the acceleration of gravity.

Projectile

Applying Principles

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The angle at which a projectile should be launched to achieve the maximum horizontal range.  

45 degrees

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This component of a projectile’s velocity remains constant throughout its flight.

Horizontal Velocity

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The total time a projectile remains in the air.

Time of Flight

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The vertical velocity of a projectile at its maximum height.

0 m/s

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Two angles that add up to 90 degrees and result in the same range are called __________ angles.

Complementary

Kinematic Mastery

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The mathematical term for the highest point reached by the projectile.

Apex

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If a projectile is launched and lands at the same elevation, this is the value of its net vertical displacement.

Zero

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This refers to the "total time" a projectile remains in the air from the moment of launch until it hits the ground.

Time of Flight

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Velocity is horizontal, gravity is vertical. They form a right angle.

90⁰

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The specific trigonometric function used to calculate the vertical component of a projectile’s initial velocity.

Sine (sin)