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Gravity and motion — Question 156

Original QCE Vault practice · 7 marks

Q156 · Practice questionComplex unfamiliar7 marks

QUESTION 156 (7 marks)

A camera measures a projectile's position relative to its launch point. At t=0.500 st=0.500\,\mathrm s, (x,y)=(6.00,3.275) m(x,y)=(6.00,3.275)\,\mathrm m. At t=1.500 st=1.500\,\mathrm s, (x,y)=(18.00,2.475) m(x,y)=(18.00,2.475)\,\mathrm m. Ignore air resistance and use g=9.8 m s−2g=9.8\,\mathrm{m\,s^{-2}}. Positive yy is upward.
a)
Determine the initial horizontal and vertical velocity components. Check the vertical result using both observations.
[3 marks]
b)
Determine the launch speed and angle above horizontal.
[2 marks]
c)
Calculate the maximum height above the launch point.
[2 marks]
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