Answer Each Question Appropriately $\frac { \mathrm { ds } } { \mathrm { dt } } = 9.8 \mathrm { t } - 5$

question 345

Multiple Choice

Answer each question appropriately.
-Suppose the velocity of a body moving along the s-axis is $\frac { \mathrm { ds } } { \mathrm { dt } } = 9.8 \mathrm { t } - 5$ .
Is it necessary to know the initial position of the body to find the body's displacement over some time interval? J your answer. ify

• A) No, displacement has nothing to do with the position of the body.
• B) 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.
• C) 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.
• D) Yes, integration is not possible without knowing the initial position.

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