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Gravity and motion — Question 157

Original QCE Vault practice · 6 marks

Q157 · Practice questionComplex familiar6 marks

QUESTION 157 (6 marks)

A launcher fires from and lands at the same level. Its speed setting is held constant. Measured horizontal ranges have absolute uncertainty ±0.2 m\pm0.2\,\mathrm m. Ignore drag in the theoretical model. Use g=9.8 m s−2g=9.8\,\mathrm{m\,s^{-2}}.
Launch angle20∘20^\circ35∘35^\circ55∘55^\circ70∘70^\circ
Range (m)14.821.621.514.9
a)
Explain why the model predicts equal ranges for each complementary pair of launch angles.
[2 marks]
b)
Determine whether the measured pairs are consistent with this prediction, allowing for the stated uncertainty.
[2 marks]
c)
Estimate the launch speed from the 35∘35^\circ measurement.
[2 marks]
Question linkSyllabus coverage

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