Question

For a body moving with uniform acceleration along a straight line the variation of its velocity v, with position x is best represented by?​

Answer 1

Answer:

For a body moving with uniform acceleration along a straight line the variation of its velocity v, with position x is best represented by $\bold{y^{2}=2 a x}$

Explanation:

In the question it’s given that acceleration is uniform. So we need to plot a graph between distance which is x and velocity v and we will take the velocity on Y- axis and distance on the X-axis. Now take the Newton’s equation which is  

$\mathrm{v}^{2}-\mathrm{u}^{2}=2 \mathrm{as}$

The initial velocity will always be zero because object always starts with rest. Now take this in terms of coordinates so v = y and s= x

$y^{2}=2 a x$ (u is the initial velocity so it will be zero).