The height and speed of a projectile (such as a thrown ball) launched with a speed of 0 at...

The height and speed of a projectile (such as a thrown ball) launched with a speed of 0 at an angle A to the horizontal are given by

where g is the acceleration due to gravity. The projectile will strike the ground when h(t) = 0, which gives the time to hit thit = 2(ν0/g) sin A.

Use the switch structure to write a MATLAB program to compute either the maximum height reached by the projectile, the total horizontal distance traveled, or the time to hit. The program should accept as input the user’s choice of which quantity to compute and the values of ν0, A, and g. Test the program for the case where ν0 = 40 m/s, A = 30 °, and g = 9.81 m/s2.