**Projectile Motion Problem**A golf ball leaves a golf club with an initial velocity of 30 m/s at an angle of 50° with the horizontal.**a. What is the vertical component of the golf ball's initial velocity?**To find the vertical component (\(v_y\)) of the initial velocity, use the equation:\[ v_y = v \cdot \sin(\theta) \]where:- \(v = 30 \, \text{m/s}\) (initial velocity)- \(\theta = 50^\circ\) (angle with the horizontal)**b. What is the total time flight time of the ball?**The total time of flight can be found using the vertical component of the velocity and the acceleration due to gravity (\(g = 9.81 \, \text{m/s}^2\)).The time to reach maximum height is given by:\[ t_{\text{up}} = \frac{v_y}{g} \]The total time of flight (\(T\)) is twice the time to reach maximum height:\[ T = 2 \times t_{\text{up}} \]

3. (a) The vertical component of the golf ball's initial velocity is, vy=visinθ=30 m/ssin50°=23.0…

3. A golf ball leaves a golf club with an initial velocity of 30 m/s at an angle of 50° with the horizontal. a. What is the vertical component of the golf ball's initial velocity? b. What is the total time flight time of the ball?

3. A golf ball leaves a golf club with an initial velocity of 30 m/s at an angle of 50° with the horizontal. a. What is the vertical component of the golf ball's initial velocity? b. What is the total time flight time of the ball?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

**Projectile Motion Problem**

A golf ball leaves a golf club with an initial velocity of 30 m/s at an angle of 50° with the horizontal.

**a. What is the vertical component of the golf ball's initial velocity?**

To find the vertical component (\(v_y\)) of the initial velocity, use the equation:
\[ v_y = v \cdot \sin(\theta) \]
where:
- \(v = 30 \, \text{m/s}\) (initial velocity)
- \(\theta = 50^\circ\) (angle with the horizontal)

**b. What is the total time flight time of the ball?**

The total time of flight can be found using the vertical component of the velocity and the acceleration due to gravity (\(g = 9.81 \, \text{m/s}^2\)).

The time to reach maximum height is given by:
\[ t_{\text{up}} = \frac{v_y}{g} \]

The total time of flight (\(T\)) is twice the time to reach maximum height:
\[ T = 2 \times t_{\text{up}} \]

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