Practicing Success
A car drives along a straight level frictionless road by an engine delivering constant power. Then velocity is directly proportional to : |
\(t\) \(\frac{1}{\sqrt{t}}\) \(\sqrt{t}\) \(t^2\) |
\(\sqrt{t}\) |
\(P = Fv = M\frac{dv}{dt}v\) Hence, v dv = \(\frac{P}{m} dt\) On integration, we find : \(\int v dv = \int \frac{P}{m} dt\) \(v^2 = \frac{P}{m}t\) \(v \propto \sqrt{t}\) |