A baseball is hit at an angle of with the horizontal and wi

A baseball is hit at an angle of ? with the horizontal and with an initial velocity of v₀ = 113 feet per second. An outfielder catches the ball 300 feet from home plate (see figure). Find ? when the range r of a projectile is given by r =

v₀² sin 2?.

(Enter your answers as a comma-separated list. Round your answers to one decimal place.)

Solution

the range r = (1/32) (v0^2) (sin2)

and given v0 =113 feet per sec and r=300ft

300 = (1/32) (113)^2 sin(2)

300x12 = (113)^2 sin(2)

3600=12769 sin(2)

sin(2) = 3600/12769

sin(2) = 0.282) = 0.3(approximate value)

sin(2) =0.3

(2) = 17.4576031237

= 8.73 degree