Q1 of 78 Page 13

If a particle moves in a straight line such that the distance travelled in time t is given by s = t3 –6t2 + 9t + 8. Find the initial velocity of the particle.

The Velocity(v) of the particle, if the distance travelled(s) is given as a function of time, is defined as .

Since s(t)= t3 –6t2 + 9t + 8


Therefore


Substituting t=0 in the equation, we get


vt=0 =9units/unit time


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