Solve the Problem $\mathrm { v } = \frac { \mathrm { k } } { \mathrm { s } } ( \mathrm { k }$

question 325

Multiple Choice

Solve the problem.
-Suppose that the velocity of a falling body is $\mathrm { v } = \frac { \mathrm { k } } { \mathrm { s } } ( \mathrm { k }$ a constant) at the instant the body has fallen s meters from its starting point. Find the body's acceleration as a function of s.

• A) \(a = - \frac { k ^ { 2 } } { s ^ { 3 } }\)
• B) \(a = - \frac { 1 } { s ^ { 2 } }\)
• C) \(a = \frac { k ^ { 2 } } { s ^ { 3 } }\)
• D) \(a = - \frac { k } { s ^ { 2 } }\)

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