Question

17. Meghan dropped a penny from the top of a 25ft
building. The height of the penny can be modeled by the
equation h =-16t2 + 25, where h is the height of the
penny in feet and t is the time in seconds. Meghan wants
to know how long it will take for the package to hit the
ground.

Answer 1

To determine how long it will take for the penny to hit the ground, we set the height (h) to zero in the given equation:

h = -16t^2 + 25

Setting h to zero:

0 = -16t^2 + 25

Next, solve for (t):

16t^2 = 25

Divide both sides by 16:

t^2 = 25/16

Take the square root of both sides:

t = √(25/16)

Simplify the square root:

t = 5/4

So, it will take t = 5/4 seconds for the penny to hit the ground, which is equivalent to 1.25 seconds.