The path of a projectile fired at an inclination to the horizontal with initial speed v0

The path of a projectile fired at an inclination θ to the horizontal with initial speed v0 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

In Problems 121–124, find the range R and maximum height H. Round answers to two decimal places. See the discussion above.

The projectile is fired at an angle of 45° to the horizontal with an initial speed of 100 feet per second.

Transcribed Image Text:

V = Initial speed Height, H Range, R