7. A vehicle of mass 6000 kg is moving up a slope inclined at an angle \(\alpha\) to the horizontal, where \(\sin \alpha = \frac { 6 } { 49 }\). The vehicle's engine exerts a constant power of \(P \mathrm {~W}\). The constant resistance to motion of the vehicle is \(R \mathrm {~N}\). At the instant the vehicle is moving with velocity \(\frac { 16 } { 5 } \mathrm {~ms} ^ { - 1 }\), its acceleration is \(2 \mathrm {~ms} ^ { - 2 }\). The maximum velocity of the vehicle is \(\frac { 16 } { 3 } \mathrm {~ms} ^ { - 1 }\). Determine the value of \(P\) and the value of \(R\).