If a particle moves in a straight line such that the distance travelled in time t is given by s = t 3 –6t 2 + 9t + 8. Find the initial velocity of the particle.

Question

Philoid · Accepted Answer

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

v_t=0 =9units/unit time

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.

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.