Suppose the velocity of a body moving along the s-axis is
= 9.8t - 6.
Is it necessary to know the initial position of the body to find the body's displacement over some time interval? Justify your answer.
◦ Yes, knowing the initial position is the only way to find the exact positions at the beginning and end of the time interval. Those positions are needed to find the displacement.
◦ No, the initial position is necessary to find the curve s= f(t) but not necessary to find the displacement. The initial position determines the integration constant. When finding the displacement the integration constant is subtracted out.
◦ No, displacement has nothing to do with the position of the body.
◦ Yes, integration is not possible without knowing the initial position.
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