1. The problem statement, all variables and given/known data if [itex]v = 8t - 3t^2[/itex] and the body is at P find where the body is from P when t=3 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?