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A toy rocket is launched from a platform 24ft above the ground. The
function y= -3t2 +6t + 24 models the path of the rocket, where t is the time
in seconds and y is the height of the rocket in feet. Determine how long is
the rocket is in the air.

Respuesta :

Answer:

4 sec

Step-by-step explanation:

let y = 0 which is the height when the rocket hits the ground

-3t^2 + 6t + 24 = 0

-3(t^2 - 2t - 8) = 0

-3(t - 4)(t + 2) = 0

t = 4  or t = -2

time cannot be negative, so t = 4 sec