Formula for projectile motion
About The formula for projectile motion
The formula for projectile motion, neglecting air resistance and assuming a flat surface, can be broken down into two separate motions: horizontal motion and vertical motion. The formulas for these two motions are:
Horizontal motion: x = v?x * t
where:
- x is the horizontal displacement or distance traveled by the object
- v?x is the initial horizontal velocity of the object
- t is the time elapsed since the object was released
Vertical motion: y = v?y * t + (1/2)gt^2
where:
- y is the vertical displacement or height of the object above the ground
- v?y is the initial vertical velocity of the object
- g is the acceleration due to gravity (approximately 9.81 m/s² near the surface of the Earth)
- t is the time elapsed since the object was released
Combining these two formulas gives the full formula for projectile motion:
x = v?x * t
y = v?y * t + (1/2)gt^2
where:
- x is the horizontal displacement or distance traveled by the object
- y is the vertical displacement or height of the object above the ground
- v?x is the initial horizontal velocity of the object
- v?y is the initial vertical velocity of the object
- g is the acceleration due to gravity (approximately 9.81 m/s² near the surface of the Earth)
- t is the time elapsed since the object was released
This formula is valid for objects that are launched at an angle to the ground, neglecting air resistance and assuming a flat surface.
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Frequently Asked Questions on Formula for projectile motion
The projectile motion refers to the motion of an object that is thrown, launched, or otherwise projected into the air and then allowed to move freely under the influence of gravity.
Projectile motion can be broken down into two separate motions: horizontal motion and vertical motion. The horizontal motion is constant, while the vertical motion is subject to acceleration due to gravity.
The formula for horizontal motion is x = v₀x * t, where x is the horizontal displacement or distance traveled by the object, v₀x is the initial horizontal velocity of the object, and t is the time elapsed since the object was released.
The formula for vertical motion is y = v₀y * t + (1/2)gt^2, where y is the vertical displacement or height of the object above the ground, v₀y is the initial vertical velocity of the object, g is the acceleration due to gravity, and t is the time elapsed since the object was released.
The full formula for projectile motion is x = v₀x * t and y = v₀y * t + (1/2)gt^2, where x is the horizontal displacement or distance traveled by the object, y is the vertical displacement or height of the object above the ground, v₀x is the initial horizontal velocity of the object, v₀y is the initial vertical velocity of the object, g is the acceleration due to gravity, and t is the time elapsed since the object was released