Position data determining velocity

Position data determining velocity

7 marks
TGM Original
A particle has velocity v=at+b m,s-1, where a,b are constants and t 0 is in seconds. Its displacement is 3 m initially, 6 m at t=1, and 5 m at t=2. Find its velocity function and when it first reaches the origin.

Solution:

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Answer:\(v=5-4t\ \mathrm{m\,s^{-1}}\); first reaches the origin at \(3\) s.

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