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The acceleration a in ms^-2 of a particl...

The acceleration a in `ms^-2` of a particle is given by `a=3t^2+2t+2`, where t is the time. If the particle starts out with a velocity `v=2ms^-1` at `t=0`, then find the velocity at the end of `2s`.

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To solve the problem, we need to find the velocity of a particle given its acceleration as a function of time and its initial velocity. The acceleration is given by: \[ a = 3t^2 + 2t + 2 \] ### Step 1: Understand the relationship between acceleration and velocity Acceleration is defined as the rate of change of velocity with respect to time. Mathematically, this can be expressed as: \[ a = \frac{dv}{dt} \] ...
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Knowledge Check

  • The acceleration a of a particle in m/s^2 is give by a=18t^2+36t+120 . If the particle starts from rest, then velocity at end of 1 s is

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