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Acceleration of a particle is given by ...

Acceleration of a particle is given by
` a= 3t^(2)+2t +1`
Where t is time . Find
(i) its velocity at time t assuming velocity to be 10 m/s at t = 0.
(ii) its position at time t assuming that the particle is at origin at t = 0.
(iii) What is the average speed of the particle in the duration t = 0 to t = 1s?
(iv) What is the average acceleration of the particle in the duration t = 0 to t = 1s?

Text Solution

AI Generated Solution

To solve the problem step by step, we will break down each part of the question systematically. ### Given: Acceleration of the particle is given by: \[ a(t) = 3t^2 + 2t + 1 \] ### (i) Find the velocity at time \( t \) assuming velocity is \( 10 \, \text{m/s} \) at \( t = 0 \). ...
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