- #1
FaraDazed
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Homework Statement
if [itex]v = 8t - 3t^2[/itex] and the body is at P
find where the body is from P when t=3
The Attempt at a Solution
I am very new to calculus and have just been taught basics of differentiation and integration.
I know that when you integrate there is an arbitrary constant so I have go this far (below).
[itex]∫ ( v = 8t - 3t^2 ) dt = 4t^2 - t^3 + C[/itex]
I am not sure what to do with the constant, is it ignored and thus the answer is as below
[itex]s = 4t^2 - t^3[/itex]
[itex]s = (4 \times 9) - 27[/itex]
[itex]s = 36 - 27[/itex]
[itex]s = 9[/itex]metres ?
Or do I have to do something with the constant?
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