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Use an energy method to determine how far the particle travels up the plane before it comes to instantaneous rest.
Mathematics 9709 · AS & A Level · Energy, work and power
Energy, work and power — practice question
A particle with mass $1.6\text{ kg}$ is launched at a speed of $20\text{ m s}^{-1}$ up the line of greatest slope on a smooth plane inclined at $\alpha$ to the horizontal, where $\tan \alpha = \frac{3}{4}$.
Worked solution & mark scheme
This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Either the correct gravitational potential energy term $1.6g\times x\times \frac{3}{5}$ or the correct kinetic energy term $\frac12\times1.6\times20^2$ is used (it does not need to be evaluated).” …
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