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# Velocity and acceleration watch

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1. A particle P moves along a straight line so that its distance x from the origin is given by the formula x = 2t^3 - 9t^2 + 12t.
Find the velocity v and acceleration a of P at any time t. Show that v = 0 when t = 1 and t = 2.
2. (Original post by njr008)
A particle P moves along a straight line so that its distance x from the origin is given by the formula x = 2t^3 - 9t^2 + 12t.
Find the velocity v and acceleration a of P at any time t. Show that v = 0 when t = 1 and t = 2.
Differentiate the function and then substitute the times (velocity = diff of displacement, acceleration = diff of velocity = double diff of displacement).
3. v=dx/dt and a=dv/dt might help...

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