m/s (b) Find the time it takes the ball to reach the wall. (c) Find the velocity components of the ball when it reaches the wall. x-component m/s y-component m/s Find the speed of the ball when it reaches the wall. m/s

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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### Projectile Motion Problem

#### Problem Statement:
A home run is hit in such a way that the baseball just clears a wall 12.0 m high, located 126 m from home plate. The ball is hit at an angle of 37.0° to the horizontal, and air resistance is negligible. (Assume that the ball is hit at a height of 1.0 m above the ground.)

#### Questions:
- **(a)** Find the initial speed of the ball.
  - [Answer] _______ m/s

- **(b)** Find the time it takes the ball to reach the wall.
  - [Answer] _______ s

- **(c)** Find the velocity components of the ball when it reaches the wall.
  - **x-component:** [Answer] _______ m/s
  - **y-component:** [Answer] _______ m/s

- Find the speed of the ball when it reaches the wall.
  - [Answer] _______ m/s

#### Submission:
- Click the "Submit Answer" button when you are ready to submit your answers.
Transcribed Image Text:### Projectile Motion Problem #### Problem Statement: A home run is hit in such a way that the baseball just clears a wall 12.0 m high, located 126 m from home plate. The ball is hit at an angle of 37.0° to the horizontal, and air resistance is negligible. (Assume that the ball is hit at a height of 1.0 m above the ground.) #### Questions: - **(a)** Find the initial speed of the ball. - [Answer] _______ m/s - **(b)** Find the time it takes the ball to reach the wall. - [Answer] _______ s - **(c)** Find the velocity components of the ball when it reaches the wall. - **x-component:** [Answer] _______ m/s - **y-component:** [Answer] _______ m/s - Find the speed of the ball when it reaches the wall. - [Answer] _______ m/s #### Submission: - Click the "Submit Answer" button when you are ready to submit your answers.
Expert Solution
Step 1-Initial speed of the ball

Max height attained by the ball =12 m at an angle of 37 degree

Ma x height= v2sin2¶/2g

Where ¶= angle of elevation

So, max height=v2(sin37) 2/2g

√(12*2*9.8/(sin37) 2)=v

v=25.48m/sec

Time taken by the ball to reach the ground 

Time from ground to the max height

T1=vsin¶/g

T2=Time from max height to 1 m above ground

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