A cyclist and his bicycle have a total mass of $$\(75 \mathrm{~kg}\)$$. The cyclist is moving down a straight road that is inclined at an angle $$\(\alpha\)$$ to the horizontal, where $$\(\sin \alpha=\frac{1}{15}\)$$ The cyclist is working at a constant rate of $$\(56 \mathrm{~W}\)$$. The magnitude of the resistance to motion is modelled as a constant force of magnitude $$\(40 \mathrm{~N}\)$$. At the instant when the speed of the cyclist is $$\(V \mathrm{~m} \mathrm{~s}^{-1}\)$$, his acceleration is $$\(\frac{1}{3} \mathrm{~m} \mathrm{~s}^{-2}\)$$ Find the value of $$\(V\)$$. (5)

Answer:

Knowledge points:

Solution: