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Mathematics: Post your doubts here!

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http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_w13_qp_41.pdf
Can someone help me with the last question last part. After getting the value of constant c for the equation of velocity by integerating the acceleration equation, why do we once again find the value of c when we once again integrate velocity to get displacement? Don't we usually just ignore the constant when taking limits? Is it because there were two different equations, and had there been only one, we would not have needed to find out the constant for the displacement. Kindly someone help me. Thanks

http://papers.xtremepapers.com/CIE/...S Level/Mathematics (9709)/9709_w13_ms_41.pdf
 
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http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w13_qp_41.pdf
Can someone help me with the last question last part. After getting the value of constant c for the equation of velocity by integerating the acceleration equation, why do we once again find the value of c when we once again integrate velocity to get displacement? Don't we usually just ignore the constant when taking limits? Is it because there were two different equations, and had there been only one, we would not have needed to find out the constant for the displacement. Kindly someone help me. Thanks

http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_w13_ms_41.pdf
We ignore the constant c when taking limits, here you are integrating to form an equation for displacement from P to A.
At P, the time t was 10 and displacement s was 100, hence the constant c could not be 0.
When you integrate the equation again to get a formula for s, you are using the time you calculated using the formula you got for velocity.
Basically, since there was displacement and time taken at the start of P (equation for which you are using), the constant c cannot be 0.
You can't integrate with limits because there are two different equations, one from O to P and one from P to A (as you said), whenever there is one equation, you can integrate with limits.
 
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