Physics motion

2011-11-13 12:50 am
Peter hears 'the please stand back from the doors' warning when he heads for an MTR train. At this time, he is walking at 0.8 ms^-1 and is 15m away from the train. He immediately accelerates at 2.5 ms^-2 to chase but the train doors close at 3 s after the warning announcement.
Is he able to catch the train?

回答 (1)

2011-11-13 1:13 am
✔ 最佳答案
Initial velocity of Peter, u = 0.8 ms^-1

Acceleration of Peter, a = 2.5 ms^-2

In 3 s, he can travel,

By s = ut + 1/2 at^2

s = (0.8)(3) + 1/2 (2.5)(3)^2

= 13.65 m < 15 m

He can travel 13.65 m in 3 s, but he was 15 m away from the train.

So, he is not able to catch the train.
參考: Prof. Physics


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