Question:
For a \(1-D\) motion, relation between position x and time \(t\) is \(t = αx^2 + βx\) Find the relation between velocity \(v\) and acceleration \(a\).
For a \(1-D\) motion, relation between position x and time \(t\) is \(t = αx^2 + βx\) Find the relation between velocity \(v\) and acceleration \(a\).
Updated On: Jan 13, 2026
- \(a = αv\)
- \(a = - 2αv\)
- \(a = - 2αv^3\)
- \(a = 2αv^2\)
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The Correct Option is C
Solution and Explanation
The Correct Option is (C): \(a = - 2αv^3\)
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Concepts Used:
Speed and Velocity
The rate at which an object covers a certain distance is commonly known as speed.
The rate at which an object changes position in a certain direction is called velocity.
Difference Between Speed and Velocity:
Read More: Difference Between Speed and Velocity