Question

S=t³-6t²+9t. now find its now find the displacement in 3rd second​

Answer 1

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Position equation of moving particle has been provided.

• S = t³ - 6t² + 9t

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We have to find displacement of particle in 3rd second.

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✻ What is displacement !

Displacement is defined as the shortest distance b/w initial and final position of the entire journey.

In short,

• Displacement = Δ(Position)

❅ Position of particle at t = 2s :

⇒ S = t³ - 6t² + 9t

⇒ S(2) = 2³ - 6(2)² + 9(2)

⇒ S(2) = 8 - 24 + 18

⇒ S(2) = 2m

❅ Position of particle at t = 3s :

⇒ S = t³ - 6t² + 9t

⇒ S(3) = 3³ - 6(3)² + 9(3)

⇒ S(3) = 27 - 54 + 27

⇒ S(3) = 0m

Displacement in 3rd second :

➝ d = S(3) - S(2)

➝ d = 0 - 2

➝ d = -2m