The speed v of an object falling with a constant acceleration g can be expressed in terms of g and the distance traveled from the point of r

Question

The speed v of an object falling with a constant acceleration g can be expressed in terms of g and the distance traveled from the point of release, h, as v = kgp hq, where k, p, and q, are dimensionless constants. What must be the values of p and q?

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6 months 2021-08-23T19:57:14+00:00 1 Answers 5 views 0

So the values are   ,

Explanation:

From the question we are told that

The equation is

Now dimension of  v (speed ) is

Now dimension of  g (acceleration  ) is

Now dimension of  h  (vertical distance  ) is

So

Equating powers

=>

and