Can someone help and explain it to me?

Question

The height of an object at any time can be found with the polynomial - 16t ^ 2 + 550 where t is the time in seconds. Using the polynomial, when will the object hit the ground?

Answer 1

As written, this is the equation of an object falling from an initial height of 550 feet. The height, h, as a function of time is given as:

h(t) = -16t² + 550

When the object hits the ground, what is its height? Zero, of course! So:

0 = -16t² + 550

16t² = 550

Can you solve for t? Divide both sides by 16 then take the square root. The units are seconds.