Question

A circus acrobat is shot out of a cannon. The equation for the acrobat's pathway can be modeled by h= -16t^2+25. How long will it take him to reach the ground?

Answer 1

For this we almost have the following equation:

`h = -16t ^ 2 + 25`
We must match the equation to zero:

`-16t ^ 2 + 25 = 0`
From here, we clear the value of t.
We have then:

`16t ^ 2 = 25 t ^ 2 = 25/16`
We discard the negative root because we are looking for time:

`t = \sqrt{ (25)/(16) }`

`t = (5)/(4)`
Answer:
it will take him to reach the ground about:

`t = (5)/(4)` seconds