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Range, Height and Time

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Range, Height and Time

All projectiles follow the same shape path.

This path is a parabola.

Acceleration is constant.

Horizontal velocity is also constant.

Velocity and position change.

- The two equations of motion can be combined to give an equation for the trajectory.
- We’ve set the origin to x0 = 0, y0 = 0.

- The maximum height occurs when vy = 0.
- This is identical to 1-dimensional motion.
- From the height can the initial velocity be estimated?

- The range of a projectile is the horizontal distance.
- The simplest range to find is for a projectile returning to its initial height.
- This is linked to the angle of the initial velocity.

The time in flight can be determined by height alone.

The “hang time” is just this time in flight.

A 1 m jump will be in the air for about 0.9 s.

The range doesn’t matter.

- Not all motion starts and stops at the same height.
- The difference in height can be found by the full set of equations.
- Let y be some non-zero value.

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