Question

A baseball is hit at an angle θ horizontal with the ground. Suppose the initial velocity is 100 feet per second. An outfielder catches the ball 300 feet from home plate. The range is determined by the following function: range=1/32 v_0^2 sin⁡〖(2θ)〗. Find the angle.

Answer 1

Answer:

The angle of projection is 36.86 degree.

Step-by-step explanation:

speed, u = 100 ft/ s

range, R = 300 ft

Use the formula of range

$R = \frac{u^2 sin2\theta}{g}\\\\300 =\frac{100\times 100 sin2\theta}{32}\\\\sin2\theta =0.96\\\\2\theta =73.74^o\\\\\theta = 36.86^o$