If we have a question where we have to find the coefficient's units such as K in this case. The actu

Poftethef9t

Poftethef9t

Answered question

2022-06-22

If we have a question where we have to find the coefficient's units such as K in this case. The actual formula contains more parts but it is simply the derivatives that I am unsure about.
K = d v d t
Where v = m s 1 (metres per second) and t is time
Do I simply find the derivative of m s 1 in respect to s? And whatever units of measurement I am left with are the units of K? ie.
d ( m s 1 ) d s
= m d ( s 1 ) d s
= m s 2

Answer & Explanation

Haggar72

Haggar72

Beginner2022-06-23Added 25 answers

No, you just divide by the unit of time. The derivative is defined as a limit of a difference quotient: (velocity difference)/(time difference). This quotient has units (m/s)/s, and taking the limit doesn't change the unit.

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