Range Of A Projectile
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Range Of A Projectile

The parametric equations of a projectile are: x = 20t and y = -16t2 + 30t.
Determine the range of the projectile.

The string: S7P4A42 (Curved Motion);
The Math:
Pj Problem of Interest (PPI) is of the type motion. The range of a projectile is the horizontal ground distance the projectile covered when it lands on the ground. At this time the vertical distance y is zero.
So setting y = 0, we have 16t = 30. From which we have t = 15/8. This t is the time that elapsed before the projectile reached the ground, that is, the time it took to cover the range.
So range = x = 20 x 15/8 = 75/2 = 37.5 ft.

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