The height of the tide measured at a seaside community varies according to the number of hours t after midnight. if the height h, in feet, is currently given by the equation h=-1/2 t^2+6t-9, when will the tide first be at 6 ft?

Explanation:

Given that, the height of the tide measured at a seaside community varies according to the number of hours t after midnight. The height is given by the equation as :

When the tide first be at 6 ft, put h = 6 ft in above equation as :

On solving the above equation to find the value of t. It is equal to :

t = 3.551 seconds

or

t = 8.449 seconds

So, the tide of 6 ft is at  3.551 seconds and 8.449 seconds. Hence, this is the required solution.

at positions a, g kinetic energy is maximum.

at position d, potential energy is maximum.

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