Question

if a particle has displacement 3t^2-t.then,find out velocity of particle if time is given= 1 sec​

Answer 1

Answer :

Relation between displacement of particle and time is provided$.$

• x = 3t² - t

We have to find instantaneous velocity of particle at t = 1 second.

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◈ Instantaneous velocity of body :

• v = (Δt → 0) Δx/Δt = dx/dt

➳ v = dx/dt

➳ v = d(3t² - t)/dt

➳ v = 6t - 1

➳ v = 6(3) - 1

➳ v = 18 - 1

➳ v = 17m/s