Mathematics 9709/41 — October/November 2023

A particle of mass $1.6\text{ kg}$ is projected with a speed of $20\text{ m s}^{-1}$ up a line of greatest slope of a smooth plane inclined at $\alpha$ to the horizontal, where $\tan \alpha = \frac{3}{4}$.

Use an energy method to find the distance the particle moves up the plane before coming to instantaneous rest.