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A particle X moves in a straight line. Its velocity, v feet per second, from the origin after t seconds is given by v(t)=3t2−12t+9.
State the initial velocity of particle X.
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Find the time(s) at which particle X changes directions.
The velocity of X reaches a minimum when t=q.
Show that v(q)=−3.
Let a be the acceleration of particle X.
Find a when t=q+1.
Particle X starts at the origin when t=0.
Find the total distance travelled by the particle when t=q.
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