Projectile Motion: A boy throw a ball above a barn roof

[archcos]

Homework Statement

A boy attempts to throw a ball over the roof of a barn 11m high with an initial velocity of vsub0=12m/s. Determine the angle theta, at which the ball must be thrown so that it reaches its maximum height, which is at the roof of the barn. also find x where the boy must stand to make a throw, if the ball is thrown 1m from the ground.

Homework Equations

x=vsub0*costheta*time
y=Vsub0sinetheta*time-1/2 gt^2

or if max height is given 11m maybe, h=vsub0^2sin^2theta / 2g

The Attempt at a Solution

if i use equation for max height I can't get the angle but I am thinking of combining the vertical and horizontal comp of displacement if I could get some hints to solving the angle or maybe the total x distance, but I am stuck with a time missing then made me confused...

 

[vela]

Why can't you find the angle using the max-height formula? It should work.

 

[archcos]

syntax error for me...i can't get the angle

 

[vela]

Why? Show your work so we can see where you're getting stuck.

 

[archcos]

i get errors here
11=12^2sin^2theta / 2*9.8
11*2*9.8=144sin^2theta
√215.6/144=√sin^2theta
theta=arcsin(1.22) then error

 

[vela]

That result (no real solution) indicates it's impossible for the boy to throw the ball over the roof of the barn.

The maximum height the ball could reach occurs if he were to throw it straight up. Try calculating what that is. If it's at least 11 m, there's no possible way for the ball to make it over the barn with that initial velocity.