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.

Suppose that A = 30°, ν0 = 40 m/s, and g = 9.81 m/s2. Use the MATLAB relational and logical operators to find the times when

a. The height is no less than 15 m.

b. The height is no less than 15 m and the speed is simultaneously no greater than 36 m/s.

c. The height is less than 5 m or the speed is greater than 35 m/s.