Physics
posted by Amy .
A small ball is launched at an angle of 30.0 degrees about the horizontal. It reaches a maximum height of 2.5m with a respect to the launch position.
What is the initial velocity of the ball when its launched?
What is the range, defined as a horizontal distance traveled until it returns to his original height. (you can ignore air resistance)

Yf^2 = Yo^2 + 2g*h,
Yo^2 = Yf^2  2g*h,
Yo^2 = o  (19.6)*2.5 = 960.4,
Yo = 31 m/s = Ver. component of Vo.
a. Vo = Yo/sinA = 31/sin30 = 62 m/s = Initial velocity.
b. R = Vo^2*sin(2A)/g,
R = (62)^2*sin60/9.8 = 339.7 m.