Suppose an egg is thrown off the top of a building 240 feet above ground. the height, h, in feet of the rock above the ground is given by h = −16t2 + 60t + 240, where t is the time in seconds. how long does it take the egg to hit the ground? a) 2.4 seconds b) 3.4 seconds c) 4.8 seconds d) 6.2 seconds

The answer is: D) 6.2 seconds

When the egg hit the ground,  the height will be equal to 0, so, from the given equation we need to find the roots or zeroes.

It's a quadratic function, we can find the roots using the quadratic equation:

So, from the given function we know that:

So, substituting we have:

So, since the time can not be a negative value, the correct option is:

6.18≈6.2 seconds

Hence, it takes 6.2 seconds to the egg to hit the ground.

Have a nice day!