May/June 2026 Paper 13

2026 · 40 questions · 40 parts · 40 marks

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16Energy Work Power EfficiencyHard1 mark
A ball is projected from the ground at point X. The ball then reaches its maximum height at point Y before landing on lower ground at point Z. The diagram shows the path of the ball.
the path of a ball thrown from point X on a raised section of ground, rising along a curved arc to its highest point Y, then falling to land at point Z on lower ground 4.0 m below Y; the diagram is marked not to scale
The ball leaves the ground at X with a kinetic energy of 5.2 J. The ball has a kinetic energy of 9.6 J when it hits the ground at Z.
The weight of the ball is 2.0 N. The vertical height of Y above Z is 4.0 m.
Air resistance is negligible.
What is the vertical height of Y above X?