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Kinematics, Integration, Integrals - IB Mathematics HL

How can we find the times at which a particle comes to rest when is moving in a straight line with acceleration and with initial speed ?

Thanks

How can we find the times at which a particle comes to rest when is moving in a straight line with acceleration and with initial speed ?

Thanks

- Jack
**Posts:**0**Joined:**Mon Jan 28, 2013 8:08 pm

Integration Kinematics IB math HL

We know that the acceleration

So,

Next, we find the constant by setting the initial conditions of the problem (for t=0 , v=60)

.

Therefore, the velocity function is

The particle comes to rest when

Hope these help!!

We know that the acceleration

So,

Next, we find the constant by setting the initial conditions of the problem (for t=0 , v=60)

.

Therefore, the velocity function is

The particle comes to rest when

Hope these help!!

- elizabeth
**Posts:**0**Joined:**Mon Jan 28, 2013 8:09 pm

Thank you Elisabeth!!

- Jack
**Posts:**0**Joined:**Mon Jan 28, 2013 8:08 pm

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