Question

A barometer falls from a weather balloon
at a height of 14,400 ft. If the equation
for height as a function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the
barometer to hit the ground?

Answer 1

Answer:

Step-by-step explanation:

h(t) = -16t² + 14400

0= -16t² + 14400

(1/-16)×-14400=-16t²(1/-16)

900=t²

$\sqrt{900} =\sqrt{t^{2}}$

30=t

Answer 2

Hence, the time taken in seconds for barometer to hit the ground is 30.

A barometer falls from a weather balloon from a height of 14400, this means that the initial height is 14,400 ft.

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

The initial height of a barometer is 14,400 ft.

After the barometer falls from a weather balloon it hits the ground and final height is 0.

So, the equation h(t)= -16$t^{2}$+ initial height

putting h(t)=0 which is the final height and initial height=14,400 we get,

0=-16$t^{2}$ +14,400

16$t^{2}$=14,400

t=$\sqrt{14,400/16}$

$t^{2}$=900

t=$\sqrt{900}$

t=30

Hence, the time taken by barometer to hit the ground is 30 seconds.

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