QuestionJune 3, 2025

2. A tennis player stretches out to reach a ball that is just barely above the ground and successfully 'lobs' it over her opponent's head. The ball is hit with a speed of 16.6m/s at an angle of 62.6 degrees. b. What is the y-component of the initial velocity? [Include units, no spaces. Round to two decimal places. Ex: 4.35m/s]

2. A tennis player stretches out to reach a ball that is just barely above the ground and successfully 'lobs' it over her opponent's head. The ball is hit with a speed of 16.6m/s at an angle of 62.6 degrees. b. What is the y-component of the initial velocity? [Include units, no spaces. Round to two decimal places. Ex: 4.35m/s]
2. A tennis player stretches out to reach a ball that is just barely above the
ground and successfully 'lobs' it over her opponent's head. The ball is hit with
a speed of 16.6m/s at an angle of 62.6 degrees.
b. What is the y-component of the initial velocity?
[Include units, no spaces. Round to two decimal places. Ex: 4.35m/s]

Solution
4.1(240 votes)

Answer

14.72m/s Explanation 1. Identify the formula for y-component The y-component of velocity is given by **v_{y} = v \cdot \sin(\theta)**. 2. Substitute values into the formula Substitute v = 16.6 \, m/s and \theta = 62.6^\circ into the formula: v_{y} = 16.6 \cdot \sin(62.6^\circ). 3. Calculate the y-component Calculate v_{y} using a calculator: v_{y} = 16.6 \cdot \sin(62.6^\circ) \approx 14.72 \, m/s.

Explanation

1. Identify the formula for y-component<br /> The y-component of velocity is given by **$v_{y} = v \cdot \sin(\theta)$**.<br /><br />2. Substitute values into the formula<br /> Substitute $v = 16.6 \, m/s$ and $\theta = 62.6^\circ$ into the formula: $v_{y} = 16.6 \cdot \sin(62.6^\circ)$.<br /><br />3. Calculate the y-component<br /> Calculate $v_{y}$ using a calculator: $v_{y} = 16.6 \cdot \sin(62.6^\circ) \approx 14.72 \, m/s$.
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