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The acceleration of a particle is given by a = -kt^2, where a is in meters per second squared and the time t is in seconds. If the initial velocity of the particle at t=0 is__________.

Respuesta :

Answer:

Velocity is zero.

Explanation:

Given:

  • acceleration of particle, [tex]a=-k.t^2\ m.s^{-2}[/tex]
  • time of observation, [tex]t=0\ s[/tex]

We know that acceleration is defined as the rate of change in velocity and hence we integrate the expression of acceleration.

Now the velocity can be given as:

[tex]v=\int\limits {a} .\, dt=-k.\frac{t^3}{3}[/tex]

Put t = 0 we get:

[tex]v=0\ m.s^{-1}[/tex]

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