Question

A flare is launched from a life raft with an initial velocity of 192 ft/sec. How many seconds will it take for the flare to return to the sea if h=192t-16t^2h=192t−16t 2 represents the height of the flare in feet above the sea tt sec after it is launched?

Answer 1

Answer:

12 seconds

Step-by-step explanation:

The given function is

$h=192t-16t^2$

where h represents the height of the flare in feet above the sea t sec after it is launched.

We need to find the time taken by flare to return to the sea. At sec level the height of flare is 0.

Substitute h=0 in the given function.

$0=192t-16t^2$

$0=16t(12-t)$

Using zero product property we get

$16t=0\Rightarrow t=0$

$(12-t)=0\Rightarrow t=12$

It means at t=0 and t=12 the flare is at sea level.

The time taken by flare to return to the sea is

$12-0=12$

Therefore, the time taken by flare to return to the sea is 12 seconds.