作者hcldesmond.bbs@ptt.cc (Desmond) 看板: physics
標題Re: [問題] 一題運動學的題目請高手解一下
時間批踢踢實業 (2008/03/28 Fri 02:53:44)
※ 引述《enterNTU (發發)》之銘言:
: Car B is traveling a distance d ahead of car A.
: Both cars are traveling at 20 m/s when the driver of B suddenly
: applies the brakes,causing his car to decelerate at 4 m/s^2 .
: it takes the driver of A 0.75 second to react. when driver of A
: applies his brakes,he decelerates at 5 m/s^2. determine the distance d
: between the cars so as to avoid a collision.
: car A |...............| car B ..............||
: d
For car A,
Reaction distance r = reaction time * speed
A
2 2
By v = v + 2a(x-x ) ,
0 0
2 2
v - v
0
Braking distance b = ────
A 2a
A
Stopping distance s = r + b
A A A
For car B,
2 2
By v = v + 2a(x - x ),
0 0
2 2
v - v
0
Stopping distance s = ────
B 2a
B
d = s - s
A B
--------------------------------
代入數字後答案應該是5 m,看看對不對?
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