Answer:
It will take 22 seconds for the thermometer to hit the ground.
Step-by-step explanation:
A thermometer falls from a weather balloon at a height of 7,744 ft.
This means that the initial height is of 7744ft.
h(t) = -16t2 + initial height
So
[tex]h(t) = -16t^2 + 7744[/tex]
How many seconds will it take for the thermometer to hit the ground?
This is t for which [tex]h(t) = 0[/tex]. So
[tex]0 = -16t^2 + 7744[/tex]
[tex]16t^2 = 0 + 7744[/tex]
[tex]t^2 = \frac{7744}{16}[/tex]
[tex]t = \sqrt{\frac{7744}{16}}[/tex]
[tex]t = 22[/tex]
It will take 22 seconds for the thermometer to hit the ground.
