Solve the Problem $\mathrm { v } = \mathrm { ks } ^ { 2 }$

question 211

Multiple Choice

Solve the problem.
-Suppose that the velocity of a falling body is $\mathrm { v } = \mathrm { ks } ^ { 2 }$ ( $\mathrm { k }$ 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) \(a = 2 k s ^ { 2 }\)
• B) \(a = 2 \mathrm { ks }\)
• C) \(a = 2 k ^ { 2 } s ^ { 3 }\)
• D) \(a = 2 k s ^ { 3 }\)