Two projectiles are launched with the same initial speed from the same location, one at a 30° angle and the other at a 60° angle with the horizontal. they land at the same height at which they were launched. if air resistance is negligible, how do the projectiles’ respective maximum heights, h30 and h60 , and times in the air, t30 and t60 , compare with each other?

Explanation:

Given

launch angle

and are complimentary angles so range for both of them is same

time of flight

For

The projectile launched at 60° attained more height and also spent more time in air when compared to the projectile launched at 30° to the horizontal.

The given parameters;

The maximum height reached by each projectile is calculated as follows;

The time of flight of the two projectiles is calculated as follows;

Thus, the projectile launched at 60° attained more height and also spent more time in air when compared to the projectile launched at 30° to the horizontal.

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