fWater flows in rectangular channel which is $3$ m wide at a depth of $3$ m with a velocity of $2\mathrm{.}8$ m$/$s$.$

If the channel contracts to a width of $2\mathrm{.}6$ m what is the resulting change in depth and in water surface elevation?

$($a$)$ Please enter the change in depth $($hint: a negative indicates a reduction, postive an increase$).$ Please provide your answer to $2$ decimal places in metres.

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$($b$)$ Please enter the change in water surface elevation $($hint: a negative indicates a reduction, postive and increase$).$ Please provide your answer to $2$ decimal places in metres.

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$($c$)$ Determine the greatest allowable contraction $($i$.$e amout the channel decreases by$)$ without altering the specified upstream conditions. Please provide your answer to $2$ decimal places in metres.