2. A student has proposed that the height h of a tree (in metres) as a function of time t (in days) satises the differential equation dh V(t) where V(t) is how much the tree has been watered (in litres) in the 48 hours prior to t. (a) If at time t the tree is watered at the rate of f (t) = 1 cos 27rt litres per day, compute V(t). (b) Assuming the tree is watered as in the previous part, solve the differential equation (1) given that at time 0 the tree is 2 metres tall. (c) Give a reason why the above model is physically implausible