January 17, 2017

Homework Help: Algebra

Posted by Martha on Friday, February 19, 2010 at 9:53am.

When a ball is thrown up into the air, it makes the shape of a parabola. The equation S= -10t^2 + v*t + k gives the height of the ball at any time, t in seconds, where “v” is the initial velocity (speed) in meters/sec and “k” is the initial height in meters (as if you were on top of a tower or building).
Make up a scenario where a ball is thrown, shot, etc. into the air. You can choose any initial velocity (in meters/sec) and any initial height (in meters) of the ball, but include them in your written scenario. The ball can leave your hand, the top of a building, etc. so you can use many different values for the initial height.
1. Insert the chosen values for “v” and “k” into the formula listed above.
2. Use the formula to find the height of the ball at any two values of time, t, in seconds that you want. Show your calculations and put units on your final answer!
3. Provide a written summary of your results explaining them in the context of the original problem.
Please make sure that your answers make sense!

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