A princess is locked in her tower as shown. When her knight in shining armor fails to arrive, she decides to take matters into her own hands.

In an attempt to gain her freedom, she considers leaping from a starting point of 1m from the side of the tower, along the equation;

f(x)= -1.5x^2 +3x

a) define the variable x.

b)The princess studies Math B at school and calculated that she would easily clear the edge of the tower when she jumped. Investigate the validity of the princess's statement.

c) Determine if she will clear the 14m of jagged rocks, to land safely in the moat. Should the princess jump?

Please help and if possible show working and explain your answer.

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