1. A golf ball is hit at an angle of 40 degrees to the horizontal at a velocity of 24 m/s. Calculate the Viy. 2. A golf ball is hit at an angle of 40 degrees to the horizontal at a velocity of 24 m/s. Calculate the Vix.

3. A firefighter, standing 45 m from a burning building, directs a stream of water from a ground level fire hose at an angle of 25 degrees above the horizontal. The Vi of the stream as it leaves the hose is 55 m/s. What is the water’s Vix?

See the answers below

Explanation:

In order to solve these problems, we must decompose the magnitudes of the velocities on the x & y-axes, using the angles that are given. It is important for a better understanding to look at the attached image and understand how the angles are located relative to the horizontal axis.

1.

The horizontal component of the angle can be found with the cosine function. While the vertical component can be found using the sine function of the angle.

Viy = 24*sin (40)

Viy = 15.42 [m/s]

2.

The horizontal component of the angle can be found with the cosine function.

Vix = 24*cos(40)

Vix = 18.38 [m/s]

3.

Vix = 55*cos(25)

Vix = 49.84 [m/s]