My question in Motivation to Derivatives - Part I

I solved a problem in another way in the first problem,
10s = 122m
12.5 s = X

1525 = 10x
152.5 = x
12.5s = 152.5m

A question here: What is the difference between this method and the method in the video clip?

using a proportionality relationship between time and distance (in the form of a constant velocity), is another valid approach, but it assumes a constant velocity over the entire time interval. This method might be suitable if you have reason to believe that the velocity remains relatively constant during the time period in question.

But better and more valid one is using the derivative to find the small change of time.

NB: The derivative measures the instantaneous rate of change of the function at that point.

I hope that clarifies although Iā€™m not a math wizard. :rofl:

1 Like

thanks (:slight_smile:

@Mohammad_Omar_Adde Very good my friend. You are becoming a master!