`v(t) = sin(t) - cos(t), s(0) = 0` A particle is moving with the given data. Find the position of the particle.
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gsarora17
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`v(t)=sin(t)-cos(t)`
`v(t)=s'(t)`
`s(t)=intv(t)dt`
`s(t)=int(sin(t)-cos(t))dt`
`s(t)=-cos(t)-sin(t)+C`
Let's find the constant C , given s(0)=0
`s(0)=0=-cos(0)-sin(0)+C`
`0=-1-0+C`
`C=1`
`:.` position of the particle is given by `s(t)=-cos(t)-sin(t)+1`
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