The height h(t) and horizontal distance x(t) traveled by a ball thrown at an angle A with a speed ! are given by
At Earth’s surface the acceleration due to gravity is g % 9.81 m/s2.
a. Suppose the ball is thrown with a velocity υ = 10 m/s at an angle of 35+. Use MATLAB to compute how high the ball will go, how far it will go, and how long it will take to hit the ground.
b. Use the values of υ and A given in part a to plot the ball’s trajectory; that is, plot h versus x for positive values of h.
c. Plot the trajectories for υ = 10 m/s corresponding to five values of the angle A: 20°, 30°, 45°, 60°, and 70°.
d. Plot the trajectories for A = 45° corresponding to five values of the initial velocity υ: 10, 12, 14, 16, and 18 m/s.
