a stone propelled from a catapult with a speed of 50mls,attains a height of 100m. Calculate the angle of projection and range.

Answer 1

Vo = 50m/s @ A Degrees
Xo = 50*Cos A
Yo = 50*sin A

Y^2 = Yo^2 + 2g*h = 0 @ max ht.
Yo^2 = -2g*h = -2*(-9.8)*100 = 1960
Yo = 44.27 m/s = Ver. component of initial velocity.

Yo = 50*sin A = 44.27
sin A = 44.27/50 = 0.88544
A = 62.3o. = Angle of projection.

Y = Yo + g*Tr = 0
Tr = -Yo/g = 4.52 s = Rise time.

Tf = Tr = 4.52 s. = Fall time.

Range = Xo*(Tr+Tf) = 50*Cos62.3*(9.04) =
210 m.

Answer 2

HENRY, it's a good job.