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Question 1 (No Calculator) [Maximum mark: 12] E Let HI) = 3:3 + 29:2 + k2: 3. Part of the graph of f is shown in the following diagram. The graph of f crosses the y-axis at the point Q. The line L is tangent to the graph of f at Q. (9.) Find the coordinates of Q. ('0) (0 Find NI)- (ij) Hence nd the equation of L in terms of k. The graph of f has a local maximum at the point P. The line L passea through P. {c} Find the value of k. Question 5 (Calculator is allowed) [Maximum mark: 15} E Note: In this question, distance is in metres and time is in seconds. A particle P moves in a straight line for six seoonds. Its acceleration during this period is given by a(t) = 212 + 13t 15, for U 5 t 5 6. (3.) Write down the values of t when the particle's acceleration is zero. (b) Hence or otherwise, nd all possible values of t for which the velocity of P is increasing. The particle has an initial velocity of 7 IDSl. (c) Find an expression for the velocity of P at time t. ((1) Find the total distance travelled by P when its velocity is decreasing