Using calculus methods, solve these problems: (a) The velocity, v, of a vehicle, with uniform acceleration, is given by v = (34 + 2) m/s, where t is the
time in seconds.

(i) Derive an expression for the distance travelled, s, by integration

Calculate the distance that the vehicle had travelled before it started accelerating if the total
distance covered in the first three seconds of acceleration was 19.5m by using the expression
derived in part (i)