The relation 3𝑡=3𝑥+6 describes the displacement of a particle in one direction where 𝑥 is in metres and t in sec. The displacement, when velocity is zero, is
Question
The relation 3𝑡=3𝑥+6 describes the displacement of a particle in one direction where 𝑥 is in metres and t in sec. The displacement, when velocity is zero, is
Solution
To find the displacement when the velocity is zero, we first need to find the velocity.
The velocity of a particle is given by the derivative of the displacement with respect to time.
Given the equation 3t = 3x + 6, we can rearrange it to x = t - 2.
Taking the derivative of x with respect to t, we get dx/dt = 1.
Setting this equal to zero (since we want the velocity to be zero), we find that there are no solutions.
This means that the velocity of the particle is never zero. Therefore, we cannot find a displacement for which the velocity is zero.
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