HMMT 二月 2003 · CALC 赛 · 第 2 题
HMMT February 2003 — CALC Round — Problem 2
题目详情
英文原题
- A particle moves along the x -axis in such a way that its velocity at position x is givenπby the formula v ( x ) = 2 + sin x . What is its acceleration at x = ?
2003 1 / 20036
解析
英文解析
- A particle moves along the x -axis in such a way that its velocity at position x is givenπby 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