Question

the equation of motion of a particle is s=3t^2-18t. find the time when the particle comes to rest​

Answer 1

Answer:

The particle is at rest at 2 times, at

t = 0 and t = 6, but we don't consider the time t = 0, as it's the time when the particle starts it's journey, obviously it will be at rest in that moment.

Explanation:

As the particle comes to rest, displacement is 0, which means s = 0

So, 0 = 3t^2 - 18t

18t = 3t^2 ( This equation has 1 solution as 0 also, so at t = 0 also, the particle is at rest )

18 = 3t

t = 6

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