Re: projectile problem
first, solve for the x-componet (Vox)and y-component of(Voy) the initial velocity.
Voy =(1/√2)*earth esc velocity )*sinα
Vox =(1/√2)*earth esc velocity )*cosα
then solve for the time it takes for the projectile in the air. ( Vfinal (Vf) here is zero)
so,
t = (Voy-Vfy)/g
= Voy/g
then,
solve for the deltaY to find the max height to find the rise. Note: Initial Yo =0.
So, use,
deltaY= Voy*t - (1/2)*gt². the
t here is the time computed earlier.
Now that we get the deltaY, its also the max rise since the inital Yo =0.
Now, to solve for the range it travelled,
deltaX = Vox*t, where Vox isthe x-component of the initial velocity.
Hope this helps.