HMMT 二月 2003 · CALC 赛 · 第 2 题
HMMT February 2003 — CALC Round — Problem 2
题目详情
- A particle moves along the x -axis in such a way that its velocity at position x is given π by the formula v ( x ) = 2 + sin x . What is its acceleration at x = ? 6 2003 1 / 2003
解析
- A particle moves along the x -axis in such a way that its velocity at position x is given π by the formula v ( x ) = 2 + sin x . What is its acceleration at x = ? 6 √ Solution: 5 3 / 4 √ dv dv dx dv Acceleration is given by a = = · = · v = cos x · (2 + sin x ) = 5 3 / 4. dt dx dt dx 2003 1 / 2003