A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). The initial velocity is 60 i + 32 k, with speed measured in feet per second. The spin of the ball results in a southward acceleration of 10 ft/s?, so the acceleration vector is a = -10 j- 32 k. Where does the ball land? (Round your answers to one decimal place.) ft from the origin at an angle of ° from the eastern direction toward the south. With what speed does the ball hit the ground? (Round your answer to one decimal place.) ft/s

A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). The initial velocity is 60 i + 32 k, with speed measured in feet per second. The spin of the ball results in a southward acceleration of 10 ft/s?, so the acceleration vector is a = -10 j- 32 k. Where does the ball land? (Round your answers to one decimal place.) ft from the origin at an angle of ° from the eastern direction toward the south. With what speed does the ball hit the ground? (Round your answer to one decimal place.) ft/s

Name: ### Projectile Motion ProblemA ball is thrown eastward into the air f
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Description: ### Projectile Motion ProblemA ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). The initial velocity is \( 60 \mathbf{i} + 32 \mathbf{k} \) feet per second. The spin of the ball results in a southward a

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

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### Projectile Motion Problem

A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). The initial velocity is \( 60 \mathbf{i} + 32 \mathbf{k} \) feet per second. The spin of the ball results in a southward acceleration of \( 10 \ \text{ft/s}^2 \), so the acceleration vector is \( \mathbf{a} = -10 \mathbf{j} - 32 \mathbf{k} \).

1. **Range and Angle of Impact:**
Where does the ball land? (Round your answers to one decimal place.)
- \(\_\_\_\_\_\_\_\_\_\_ \text{ft}\) from the origin at an angle of \(\_\_\_\_\_\_\_\_\_\_^\circ\) from the eastern direction toward the south.

2. **Impact Speed:**
With what speed does the ball hit the ground? (Round your answer to one decimal place.)
- \(\_\_\_\_\_\_\_\_\_\_ \text{ft/s}\)

Complete the answers in the provided text boxes. This problem requires knowledge of kinematics to determine the trajectory and final velocity of the ball.

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