Questions: A hockey puck is sliding at 2.8 m/s at an angle of 32° from the positive x-axis as shown. What is the y component of the velocity of the hockey puck? Enter your answer in m/s. Always enter just the number. Use the same significant figures as given in the problem statement, or at most one more. If you are unsure about significant figures, please see the course web page.

Solution Steps

The problem provides the following values:

• Velocity of the hockey puck, \( v = 2.8 \, \text{m/s} \)
• Angle from the positive x-axis, \( \theta = 32^\circ \)

The y-component of the velocity can be found using the sine function: \[ v_y = v \sin(\theta) \]

Substitute the given values into the formula: \[ v_y = 2.8 \, \text{m/s} \times \sin(32^\circ) \]

Using a calculator to find \(\sin(32^\circ)\): \[ \sin(32^\circ) \approx 0.5299 \]

Now, multiply: \[ v_y = 2.8 \, \text{m/s} \times 0.5299 \approx 1.4837 \, \text{m/s} \]

Final Answer