Question

A flare is launched from a boat. The height, , in meters, of the flare above the water is approximately modelled by the function, where is the number of seconds after the flare is launched. How many seconds will it take for the flare to return to the water?

Answer 1

10 seconds

Step-by-step explanation:

If the height is modeled by the function
`h(t)=-15t^(2) +150t`, then the seconds it takes to reach the water (when the height equals 0) is modeled by the following.

`0=-15t^(2) +150t\\0=-15t*(t-10)\\\\t=0\\t=10`