differentiation: displacement given by the equation s= 2t^2 - t, t ≥ 0 minutes

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benzema

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Q1. An object moving along a straight line has its displacement, s metre, from a fixed point O, given by the equation s= 2t2 - t, t ≥ 0 minute.
a) when this object is at rest, at what position and how far is it from O?
b) determine the average velocity of this object in the first 3 minutes.

c) determine the average acceleration of this object in the first 3 minutes.
 
benzema said:
Q1. An object moving along a straight line has its displacement, s metre, from a fixed point O, given by the equation s= 2t2 - t, t ≥ 0 minute.
a) when this object is at rest, at what position and how far is it from O?

What is the condition for subject at rest (as a function of s & t)?
b) determine the average velocity of this object in the first 3 minutes.

How do you get a function for 'v' from the function of 's(t)'?

c) determine the average acceleration of this object in the first 3 minutes.

How do you get a function for 'a' from the function of 's(t)'?

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