14 A particle, P , is moving along a straight line such that its acceleration \(a \mathrm {~ms} ^ { - 2 }\), at any time, \(t\) seconds, may be modelled by
$$a = 3 + 0.2 t$$
When \(t = 2\), the velocity of P is \(k \mathrm {~m} \mathrm {~s} ^ { - 1 }\)
14
- Show that the initial velocity of P is given by the expression \(( k - 6.4 ) \mathrm { ms } ^ { - 1 }\)
[0pt]
[4 marks]
14 - The initial velocity of P is one fifth of the velocity when \(t = 2\)
Find the value of \(k\).