# Quadratic Formula

by
**cmarquis**

Last updated 4 years ago

** Discipline: **

Math ** Subject: **

Algebra I

Quadratic Formula

Handier than you once thought

First, we MUST rearrange the given formula to appear as follows: ax²+bx+c=0 You should then get:-16t²+24t+7=10 (subtract 10 from both sides)-16t²+24t-3=0

A player shoots a basketball from a height of 7 ft with an initial vertial velocity of 24 ft/s. The equation -16t²+24t+7=10 can be used to determine the time t in seconds at which the ball will have a height of 10 ft - the same height as the basket. Solve using THE Quadratic Formula.

Question

Remember that handy dandy Quadratic Formula? Use it here! (If you've forgotten, please refer to the video to the right)

Plug and chug those numbers Hint: Where you see a b, insert the value of b.Our formula then becomes

We see that t can be either 0.14 or 1.36, but what does that mean? It means the ball will be at a height of 10 feet in the air after 0.14 seconds and 1.36 seconds.

Step 1

Math!

1950

Step 2

Step 3

Interpreting the Solution

https://www.youtube.com/watch?v=APje2Wx0ENY

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