Average velocity can be calculated by taking the average of initial and final velocities for a given time interval irrespective of the type of acceleration.

True

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False

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Solution

The correct option is B False
According to the question, the equation for measuring average velocity is
$A v e r a g e v e l o c i t y = \frac{I n i t i a l v e l o c i t y + F i n a l v e l o c i t y}{2}$
However, this equation can not be used for a non-uniform velocity, that is, there must be no change in magnitude or direction of the velocity to be able to get correct answers using this equation.
For example, a train initially travels at $0.01 m s^{- 1}$ for 1 second, then at $1 m s^{- 1}$ for 10 seconds, and then $5 m s^{- 1}$ for 10 days. The average velocity for this case can not be calculated using the equation. It is calculated using another equation,
$A v e r a g e v e l o c i t y = \frac{T o t a l d i s p l a c e m e n t}{T o t a l t i m e}$
Therefore,
Average velocity can not be calculated by taking the average of initial and final velocities for a given time interval irrespective of the type of acceleration.
Hence, the statement is false.

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