What is the relationship between speed and acceleration in simple terms?

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SUMMARY

The relationship between speed and acceleration is defined through the equations of motion. Specifically, acceleration (a) is calculated as the change in velocity (v) over time (t), expressed as a = v/t. Additionally, speed (v) is derived from distance (s) over time, represented as v = s/t. Therefore, acceleration can also be expressed as a = s/t², indicating that acceleration is the second time-derivative of displacement.

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Homework Statement



The distance covered by an object is given by the equation.
s^2=at^2+2bt+c
Then acc varies as?

I am a beginner please some one explain in the simplest language possible.
 
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What is the relationship between speed and acceleration?
Hint - look at your equations.

a=v/t
v=s/t

therefore: a=(s/t)/t = s/t^2

specifically - acceleration is the second time-derivative of displacement.
what sort of answer is expected depends on where you are at in your studies.
 

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