Integration of velocity to get displacement

  • #1
rudransh verma
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Homework Statement:
A particle at x=0 at time t=0 starts moving along positive x axis with velocity v= alpha## \sqrt x##. Displacement of particle is
Relevant Equations:
##v=\frac{dx}{dt}##.
Integration of v= integration of##(alpha \sqrt x)dx##.
But I am getting wrong answer.
 

Answers and Replies

  • #2
Orodruin
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Homework Statement:: A particle at x=0 at time t=0 starts moving along positive x-axis with velocity v= alpha## \sqrt x##. Displacement of particle is
Relevant Equations:: ##v=\frac{dx}{dt}##.

Integration of v= integration of##(alpha \sqrt x)dx##.
But I am getting wrong answer.
You have the wrong integral. Distance is the integral of velocity with respect to time, not with respect to distance.
 

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