Kinematic and Projectile motion equations

[McDonell]

Homework Statement

Find the angle of the projection for which the maximum height is equal half of the range.

Homework Equations

Kinematic and Projectile motion equations

 

[azizlwl]

Just use SUVAT equations.

 

[LadyMario]

I'm working on the same problem. Any help would be appreciated. I've gotten as far as finding R(range)= (Vo^2sin2Theta)/g but how do I find the formula for Max height?

 

[azizlwl]

I'm working on the same problem. Any help would be appreciated. I've gotten as far as finding R(range)= (Vo^2sin2Theta)/g but how do I find the formula for Max height?

R(range)= \frac{Vo^2 Sin2\Theta}{g}

For maximum height
(v₀Sinθ)²=2aR

 

[LadyMario]

How did you get that equation for max height?

 

[azizlwl]

How did you get that equation for max height?

(v_y)²=(u_y)²-2as

 

[LadyMario]

Thank you so much :)!