f(t) = -5t^2 + 20t + 60 -5(t^2 - 4t - 12) -5(t + 2) (t - 6) t = -2 or t = 6
6 seconds
6 seconds. ;
The object takes 6 seconds to hit the ground as determined by solving the equation derived from its height function. The quadratic equation yields time values of 6 and -2 seconds, where only 6 seconds is valid. Therefore, the object hits the ground at 6 seconds after launch.
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