A baseball player throws a ball in the air with an initial speed of 50 m/s at an angle of 30 degrees above the horizontal. What is the vertical component of the ball’s initial velocity assuming up is the positive direction?

25 m/s

Explanation:

From the question,

The vertical component of the initial velocity of the base ball assuming up is positive, is given as

Vv = VsinФ ... Equation 1

Where Vv = Vertical component of the initial velocity of the base ball, V = Initial velocity of the base ball, Ф = Angle of inclination with the horizontal.

Given: V = 50 m/s, Ф = 30°

Substitute into equation 1

Vv = 50sin30°

Vv = 50 (0.5)

Vv = 25 m/s.

Hence the vertical component of the initial velocity = 25 m/s