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inessss [21]
3 years ago
9

A thermometer falls from a weather

Mathematics
1 answer:
Nesterboy [21]3 years ago
6 0

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

h(t) = -16t^2 + 7744

How many seconds will it take for the thermometer to hit the ground?

This is t for which h(t) = 0. So

0 = -16t^2 + 7744

16t^2 = 0 + 7744

t^2 = \frac{7744}{16}

t = \sqrt{\frac{7744}{16}}

t = 22

It will take 22 seconds for the thermometer to hit the ground.

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