The following quadratic equation represents a projectile in motion. The projectile is you! You are being shot out of a cannon. Use the following equation to determine how many seconds it will take for you to hit the ground.

Y=16t^2+vt+h

Yis your height in feet off of the ground at any time during your "flight,"vis your initial velocity in feet per second,his your starting height in feet off of the ground, andtis time in seconds.

Choose values for the variables using the following parameters. Your cannon must be at least 10 feet off the ground but no more than 30 feet. The initial velocity can be anywhere from 75 to 150 feet per second.

Since you want the time required for you to land (safely!) on the ground, let your height,Y= 0. Substitute the values into the equation and calculate the time,t, you will be flying through the air. Remember that you may calculate possible solutions that do not make sense. How long will you be flying through the air?