Question

You are riding a roller coaster when a shoe falls off your foot. The function y 250 - 16t represents the height y (in feet) of the shoe t seconds after it falls off your foot. The shoe lands on the top of a 25-foot-tall building. After how many seconds does the shoe hit the building? The shoe hits the building after seconds E ​

Answer 1

The shoe hits the building after approximately 14.06 seconds.

Step-by-step explanation:

The given function y = 250 - 16t represents the height y (in feet) of the shoe t seconds after it falls off your foot.

The shoe lands on the top of a 25-foot-tall building.

To find the time when the shoe hits the building, we need to set the height equal to the height of the building and solve for t.

25 = 250 - 16t

16t = 250 - 25

16t = 225

t = 225/16

t ≈ 14.06

Therefore, the shoe hits the building after approximately 14.06 seconds.