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A rock is tossed from a platform and follows a parabolic path through the air. The height of the rock in metres is given by

A rock is tossed from a platform and follows a parabolic path through the air. The height of the rock in metres is given by

h(t) = -5t2 + 12t + 14 where t is measured in seconds.

For what times is the height of the rock greater than 17 metres?

How long is the rock above the height of 17 metres? How long is the rock in the air?

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