About instantaneous speed

👨🏻‍🏫 學術台其他 - 科學

A Maths student

2008-11-22 8:09 am

The book said
Instantaneous speed at t=t0=average speed during the period t=t0 to t=t0+ delta t,where deltaA ---> 0
How can we prove this theorem?Thanks

更新1:

it should be "where deltaT ---> 0"

回答 (2)

Chau

2008-11-22 3:58 pm

✔ 最佳答案

Do you studied differentiation.If so,you may uses the it.Firstly,find the equation of the v/t graph.dv/dt it,then put t=0s into the equation you will find the instantaneous speed at t=0s.Besides,you may find the other point use this problem.

參考: me

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天同

2008-11-22 7:53 pm

This is not a theorem, but a [mathematical definition] of the term [instantaneous].

'Instantaneous' means a relatively short interval of time. To put this in mathematical representation, this is just the time interval (delta T) approaches zero.

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