The horizontal distance that a projectile will travel in the air (ignoring air resistance) is given by the equation where 0 is the initial

The horizontal distance that a projectile will travel in the air (ignoring air resistance) is given by the equation

where υ₀ is the initial velocity of the projectile, θ is the angle of elevation, and g is acceleration due to gravity (9.8 meters per second squared).

(a) If you can throw a baseball with an initial speed of 34.8 meters per second, at what angle of elevation θ should you direct the throw so that the ball travels a distance of 107 meters before striking the ground?

(b) Determine the maximum distance that you can throw the ball.

(c) Graph R = R(θ), with υ₀, = 34.8 meters per second.

(d) Verify the results obtained in parts (a) and (b) using a graphing utility.

v sin(20) R(0)