Projectile Motion Help (1 Viewer)

[athidasiri]

How can you determine the typical launch angle and initial velocity when only given the maximum height and length where max. height occurs?

 

[Trebla]

How can you determine the typical launch angle and initial velocity when only given the maximum height and length where max. height occurs?

If you assume a ground level projection then when you specify the coordinate axes you have three known points (0,0), (0.5R,H) and (R,0) where R is the range and H is the maximum height.

Three points allows you to specify the exact Cartesian equation of the parabola that models the projectile when you sub it into the general equation. Once you have done that you can then work out the initial velocity and launch angle.