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Q8) (a) A body starts with an initial velocity, v₀ ms^{- 1}, and its acceleration, a ms^{- 2}, is given by a = 2 + 6t, where t is the time, in seconds, from the start.

Given a = dv/dt and velocity v = dS/dt, determine EACH of the following for the body:

(i) v as a function of t , given that v = 7 ms^{- 1} when t = 1 second. (4)

(ii) the initial velocity v₀. (1)

(iii) the distance from the start position, S metres, as a function of t. (4)

(iv) the distance travelled in 2 seconds. (1)