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Q8. (a) The velocity v, in ms-1, of a particle at time t, in seconds, is given by

v = ds/dt = 30 – 8t

Given s = 0 when t = 0, determine EACH of the following:

(i) s in terms of t; (5)

(ii) the distance travelled in 4 seconds from t = 0. (2)

(b) Integrate EACH of the following functions, with respect to the given variable:

(i) 6x² + 2/√x-3 (2)

(ii) 2 θ + 3cos θ - 4sin θ. (3)

(c) Evaluate ∫₁²4/x² dx (4)