(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I want to learn how to solve problems with air resistance.

The equation is shown at the website below.

http://en.wikipedia.org/wiki/Drag_(physics [Broken])

Example:

A 0.5 kg ball is thrown upward at 25 m/s. The density of the air = 1.3 kg/m^3. The drag coefficient = 0.8. Cross sectional area = 0.05 m^2

Fd = ½ * 1.3 * v^2 * 0.8 * 0.05

Fd = 0.026 * v^2

How do I determine the maximum distance, that the ball moves upward, and the time for the upward trip?

2. Relevant equations

Fd = ½ * density * velocity^2 * drag coefficient * Cross sectional area

3. The attempt at a solution

Fd = ½ * density * velocity^2 * drag coefficient * Cross sectional area

Fd = ½ * 1.3 * v^2 * 0.8 * 0.05

Fd = 0.026 * v^2

Net force = m * g – Force of air resistance

Net force = (0.5 * 9.8) – 0.026 * v^2

Net acceleration = Net force ÷ mass

Net acceleration = 9.8 – 0.052 * v^2

How do I determine the maximum distance, that the ball moves upward, and the time for the upward trip

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: How do I determine the maximum distance, that the ball moves upward, and the time for

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