# If a particle starting from rest has an acceleration that increases linearly with time as a=2t, then the distance travelled in third second will be

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by nimeshmodi72

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by nimeshmodi72

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a=2t

now we know that

now we know that

now in three seconds it will travel

in 2 seconds it will travel

therefore in third second it will travel

answer.............

integrating on both sides

c is the integration constant

The particle has started from rest

so at velocity at t=0 is zero

integrating again omn both sides we displacement

where C is an integration constant

the distance travelled in 3rd second

=