A particle is moving with the given data. Find the position of the particle. a(t) = − 4t + 5, s(0) = 0, s(1) = 20

How do I find s(t)=?

Recall that

Integrating this expression, we get

Also, recall that

or

Next step is to find . We know that at t = 0, s = 0, which gives us . At t = 1, s = 20, which gives us

or

Therefore, s(t) can be written as

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