A roofer tosses a piece of tile to the ground 30 feet below.

Rickeydwatkins

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A roofer tosses a piece of roofing tile from a roof onto the ground 30 feet below. He tosses the tile with an initial downward velocity of 10 feet per second.

Problem

Write an equation to find how long it takes the tile to hit the ground. Use the model for vertical motion, H= -16t^2 + vt + h, where H is the height of an object after t seconds, v is the initial velocity, and h is the initial height. (Hint: Since the object is thrown down, the initial velocity is negative.)
How long does it take the tile to hit the ground?
 
Where are you stuck in this exercise?

Do you understand it? If there is anything that you do not understand, then please ask specific questions.

Substitute the given values for v and h into the formula for H.

H is zero when the tile is on the ground, right? So, substitute zero for H.

This gives you a quadratic equation in standard form.

Use whatever methods you've learned for solving a quadratic equation.

If you need more help, then please show whatever work you can accomplish, and try to say something about WHY you're stuck, so that I might determine where to continue helping you.

 
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