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A particle travels so that its accelerat...

A particle travels so that its acceleration is given by `vec(a)=5 cos t hat(i)-3 sin t hat(j)`. If the particle is located at `(-3, 2)` at time `t=0` and is moving with a velocity given by `(-3hat(i)+2hat(j))`. Find
(i) The velocity `[vec(v)=int vec(a).dt]` at time t and
(ii) The position vector `[vec(r)=int vec(v).dt]` of the particle at time `t (t gt 0)`.

Text Solution

Verified by Experts

The correct Answer is:
(a) `vec(v)=(5 sin t-3) hat(i)+(3 cos t-1) hat(j), (b) (2-5 cos t-3t) hat(i)+(2+3 sin t-t) hat(j)`
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