A $41\mathrm{.}5-$kg child stands at one end of a $68\mathrm{.}5-$kg boat that is $4\mathrm{.}00$ m long. The boat is initially $3\mathrm{.}00$ m from the pier. The child notices a turtle on a rock beyond the far end of the boat and proceeds to walk to that end to catch the turtle.

A child is in a boat at its left end. The distance between the left end of the boat and the dock is $3\mathrm{.}00$ m and the length of the boat is $4\mathrm{.}00$ m$.$ A turtle sits on a rock close to the right end of the boat.

$($a$)$ Neglecting friction between the boat and water, describe the motion of the system $($child plus boat$).$

Score: $0\mathrm{.}33$ out of $0\mathrm{.}33$

Comment:

$($b$)$ Where will the child be relative to the pier when he reaches the far end of the boat?

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$($c$)$ Will he catch the turtle? $($Assume that he can reach out $1\mathrm{.}00$ m from the end of the boat.$)$

YesNo$$