Using C and only include stdio.h and math.h libraries.

The Flight of a Ball: If we assume negligible air friction and the curvature of the Earth, a ball that is thrown into air from any point on the Earths surface will follow a parabolic ight path. The height of the ball at any time t after it is thrown is given by: y(t) = y₀ +v_y0t-0.5gt² where y₀ is the initial height of the ball, v_y0= v₀ sin is the initial velocity of the ball along y or vertical direction, and g is the acceleration due to gravity. The horizontal distance (range) travelled by the object is given by: x(t) = x₀ + v_x0t where x₀ is the initial horizontal position and v_x0 = v₀ cos is the initial velocity of the ball along x or horizontal direction. Assume, that the intial velocity v₀ = 20 m/s at an initial angle . Calculate the values of range and height for angle between 0 and 90 in steps of 5. Determine the angle that will result in maximum range for the ball. Plot the trajectory of the path for dierent angles in dierent colors.