Chapter 13.4, Problem 32E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

A ball with mass 0.8 kg is thrown southward into the air with a speed of 30 m/s at an angle of 30° to the ground. A west wind applies a steady force of 4 N to the ball in an easterly direction. Where does the ball land and with what speed?

To determine

**To find:** Where the ball land and speed of the ball.

Explanation

**Given:**

**Formula:**

Write the expression for second law of motion.

Here,

Write the expression to find the acceleration.

Write the expression to find the velocity.

Place the ball at the origin and consider that **j** is to be pointing in the northward direction with **i** pointing east and **k** pointing in upward.

Modify equation (1).

Substitute

The wind applies a constant acceleration of

By combining the acceleration due to gravity, the acceleration acting on the ball is

Substitute

The general expression for
**j** and **k** is,

Substitute

Substitute

Substitute

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