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(a) Determine the {9:1 y} eoordinates for Leigh's and David's position at time s, (b) Find the equation of a normal line to the parabola, in terms of s, which passes through David's position (c) Find (in terms of s) the point H where the normal line found in (b) mtersects the .r-axis. {d} If there were no rocks available for Leigh to hide in, would he be able to escape from David without being tagged? Justifya your answer. {e} Use DEE-MUS to draw a graph with all the features of this model. Your drawing needs to be able to represent variable values of time and include labels [not hand-written) for every feat-me. Include a screenshot of this graph with a viewing window :1: E [2, EU] and y E [2, 15] in your solution. if) Calculate the minimum speed that Leigh needs to travel at in order to escape. Justify your answer. (Hint: Think about the value of .9 where David's line of re hits the bottom of the rocks.) [3+2+2+3+4+5=19marks] END OF ASSIGNMENT