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Worksheet: Finding Velocity Vector by Differentiation

Q1:

A particle started moving in a straight line. After 𝑑 seconds, its position relative to a fixed point is given by Find the velocity of the particle when 𝑑 = 5 s .

  • A 40 m/s
  • B 44 m/s
  • C 45 m/s
  • D 14 m/s

Q2:

A particle moves in a straight line such that at time 𝑑 seconds ( 𝑑 β‰₯ 0 ) its displacement from a fixed point on the line is given by 𝑠 = ο€Ή βˆ’ 2 𝑑 βˆ’ 5 𝑑 + 1 2  2 m . Determine the particle’s velocity when its displacement is 0.

  • A βˆ’ 1 5 m/s
  • B βˆ’ 3 m/s
  • C βˆ’ 2 3 m/s
  • D βˆ’ 1 1 m/s
  • E βˆ’ 9 m/s