Q360 · Practice questionTechnology-freeSimple familiar5 marks
QUESTION 360 (5 marks)
A particle has acceleration m/s for . Its velocity at is m/s and its position at is m.
a)[2 marks]
Determine .
b)[2 marks]
Determine .
c)[1 mark]
Determine the initial position.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
a) . b) . c) m.
Worked solution
a) Integrating acceleration gives . The velocity condition gives .
b) Integrating velocity gives . The position condition gives .
c) Substitute .
Exact answers unless rounding is specified; equivalent forms accepted. Retain unrounded intermediate values.
Integrates acceleration.
Determines the velocity constant.
Integrates velocity.
Uses the position condition at a nonzero time.
Determines the initial position.
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