Write true or false for the following statements:A motion is said to b

1.	Write true or false for the following statements:A motion is said to be uniform if x ∝ t2
Answer» False A motion is said to be uniform if velocity is constant. Velocity is constant means velocity does not change with time. Now, we know that, Displacement =\(x\propto\,time^2\) ….1 Also, we know that, Velocity = \(\frac{Displacement}{Time}\) ….2 From equations 1 and 2, we get, Velocity ∝ Time So, velocity increases with time and hence not constant. .So, if x ∝ time², then motion is not uniform.

Write true or false for the following statements:A motion is said to be uniform if x ∝ t2

Answer»

False

A motion is said to be uniform if velocity is constant.

Velocity is constant means velocity does not change with time.

Now, we know that, Displacement =\(x\propto\,time^2\) ….1

Also, we know that, Velocity = \(\frac{Displacement}{Time}\) ….2

From equations 1 and 2, we get,

Velocity ∝ Time

So, velocity increases with time and hence not constant.

.So, if x ∝ time², then motion is not uniform.