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Final: The Falling Ball

Part of the Radicals & Rational Exponents section of Coddy's Algebra 2 journey. Lesson 40 of 40.

A ball is dropped and falls freely. After falling h metres, its speed is about the square root of 20h metres per second. Find the height it must fall to reach a given speed: the board holds the equation for that speed.

Challenge

A dropped ball's speed after falling h metres is about $v = \sqrt{20h}$ metres per second. From what height h does it reach 10 metres per second? Solve the equation on the board, then check your answer in it.

Try it yourself

\sqrt{20h} = 10

Get $h$ alone

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Radicals & Rational Exponents

1Simplest Form

Perfect Square Factors Like Radicals Simplify First Recap: Adding Radicals

4Rationalizing

One Root Below A Number and a Root The Conjugate Below Recap: Rationalizing

7Powers and Roots Equations

Odd Powers Even Powers Fractional Powers Two Thirds Power Recap: Power Equations

2Letters and Cube Roots

Letters Under the Root Cube Roots Recap: Simplifying Radicals

5Rational Exponents

One Over n m Over n Negative Exponents Exponent Rules Still Work Recap: Rational Exponents

8Radical Functions

Domain of a Root Evaluating Inverse of a Square Recap: Radical Functions

3Multiplying Radicals

Root Times Root Distributing a Root Two Brackets Conjugate Pairs Recap: Multiplying Radicals

6Radical Equations

Square Both Sides Isolate the Root First A False Answer Cube Root Equations Recap: Radical Equations

9Final Challenges

Final: Simplify and Add Final: Clear the Root Final: The Exponent Final: Check ItFinal: The Falling Ball