The projectile is fired at an angle of 25° to the horizontal with an initial speed of 500 meters per second.

In problem, find the range R and maximum height H.

The path of a projectile fired at an inclination θ to the horizontal with initial speed υ₀ is a parabola (see the figure).

 

The range R of the projectile, that is, the horizontal distance that the projectile travels, is found by using the function

where g ≈ 32.2 feet per second per second ≈ 9.8 meters per second per second is the acceleration due to gravity. The maximum height H of the projectile is given by the function

Transcribed Image Text:

Vo = Initial speed Height, H Range, R-