8 A jogger is running along a straight horizontal road. The jogger starts from rest and accelerates at a constant rate of \(0.4 \mathrm {~m} \mathrm {~s} ^ { - 2 }\) until reaching a velocity of \(V \mathrm {~m} \mathrm {~s} ^ { - 1 }\). The jogger then runs at a constant velocity of \(V \mathrm {~m} \mathrm {~s} ^ { - 1 }\) before decelerating at a constant rate of \(0.08 \mathrm {~m} \mathrm {~s} ^ { - 2 }\) back to rest. The jogger runs a total distance of 880 m in 250 s .

1. Sketch the velocity-time graph for the jogger's journey.
2. Show that \(3 V ^ { 2 } - 100 V + 352 = 0\).
3. Hence find the value of \(V\), giving a reason for your answer.