Standard +0.3 This is a straightforward power-force-motion problem requiring standard formulas (P=Fv, F=ma, resolving forces on an incline). It involves multiple steps but uses routine M1 techniques with no conceptual difficulty beyond applying Newton's second law with power. Slightly above average due to combining several standard elements, but well within typical M1 scope.
A car of mass 1150 kg travels up a straight hill inclined at 1.2° to the horizontal. The resistance to motion of the car is 975 N. Find the acceleration of the car at an instant when it is moving with speed 16 m s\(^{-1}\) and the engine is working at a power of 35 kW. [4]
A car of mass 1150 kg travels up a straight hill inclined at 1.2° to the horizontal. The resistance to motion of the car is 975 N. Find the acceleration of the car at an instant when it is moving with speed 16 m s$^{-1}$ and the engine is working at a power of 35 kW. [4]
\hfill \mbox{\textit{CAIE M1 2010 Q1 [4]}}