7 A single force, \(F\) newtons, acts on a particle moving on a straight, smooth, horizontal line. The force \(F\) acts in the direction of motion of the particle.
At time \(t\) seconds, \(F = 6 \mathrm { e } ^ { t } + 2 \mathrm { e } ^ { 2 t }\) where \(0 \leq t \leq \ln 8\) 7

1. Find the impulse of \(F\) over the interval \(0 \leq t \leq \ln 8\)
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2. The particle has a mass of 2 kg and at time \(t = 0\) has velocity \(5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) Find the velocity of the particle when \(t = \ln 8\)