Did anyone fully do question 1? I got the first part, and then showed that the min of the sum of the distances of P and Q was whatever thjey said. But when it came to doing the same with the distances between P and Q, i couldn't get a value of m out of the dy/dx=0 to put back in the distance equation.
I then tried question 2 and failed- i managed the graph and its stationary points i think, confused my self (stupidly) about the stating part, then found the two values of a for which dy/dx=0 and d2y/dx2=0 but then decided to cut my losses and move on.
I then attempted the integration question, got the first of the three integrals and then got stuck.
Then i moved onto the differential equation question (q8?) showed the transformation worked, got a solution to the diff equation but couldn't put it into the form they wanted so i moved on and tried the same substitution for the last part which worked but since it just asked for a general solution (no particular form) i just left it in my messy form.
Then i tried the cool question about dropping the stone in the well- the scary looking show that was actually fairly easy i thought. Then had to rearrange to show D=... started it but it would have been a tedious process of squaring and moving all radicals to one side and repeating and getting it in their exact form would have been time consuming and i was running out of time. Then attempted the last part which was the estimation of the well depth which went fine.
Just before time was up i made a superficial start at the mechanics question just before that (not worth more than 1-3 marks imo).
Expecting 50-60 marks which isn't really safe enough for a 2
.
What about you guys? How did you find it?