# Speed and velocity

## Speed and velocity

At time t seconds, where $\inline&space;t\geqslant&space;0$, a particle P is moving on a horizontal plane with
acceleration [(3t2– 4t)i + (6t – 5)j] m s–2.

When t = 3 the velocity of P is (11i + 10j) m s–1.

Find

(a) the velocity of P at time t seconds,

(b) the speed of P when it is moving parallel to the vector i.

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