Water flows in rectangular channel which is $3m$ wide at a depth of $3m$ with a velocity of $2\mathrm{.}6\frac{m}{s}.$

If the channel contracts to a width of $2\mathrm{.}6m$ 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.

$($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.

$($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.