Motion in Two and Three Dimensions
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Horizontal Range & Maximum Height attended by a Projectile: |
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The maximum height attended by the projectile is ‘h’. To calculate, the value of ‘h’, let us consider
vyA = 0 at the peak of the path of the projectile. And, at position A, the time is tA, taken by the
projectile to reach the peak. Applying the equations of motion:
vyf = vyi + ayft
so, 0 = vi sin θi - gtA
Now, the expression for time would be tA = (vi sin θi)/g
Substituting the value of tA into equation
of Projectile we get,
Now the horizontal range (R) of the projectile is given by,
The expressions for “h” and “R” give the idea about the vertical height and horizontal range of the
projectile, which show that these expressions depend upon the angle which the projectile makes
with the horizontal and the initial velocity.
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