QCEVault

Gravity and motion — Question 225

Original QCE Vault practice · 5 marks

Q225 · Practice questionComplex familiar5 marks

QUESTION 225 (5 marks)

A small ball is launched horizontally at 6.00 m s−16.00\,\mathrm{m\,s^{-1}} from a platform 19.6 m19.6\,\mathrm m above level ground. A small ground-level catcher moves in the same direction at constant speed 2.00 m s−12.00\,\mathrm{m\,s^{-1}}. At launch it is distance dd ahead of the point directly below the ball. Ignore drag and object sizes. Use g=9.8 m s−2g=9.8\,\mathrm{m\,s^{-2}}.
A ball at the centre of the top of a platform launches right at 6.00 m/s. A ground-level catcher moves right at 2.00 m/s. A dotted vertical through the ball aligns with the left endpoint of a horizontal dimension d to the catcher. The platform height is 19.6 m. Not to scale.
a)
Calculate the time at which the ball reaches ground level.
[2 marks]
b)
Determine d so that the ball enters the catcher at ground level.
[3 marks]
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