Assertion : In the `upsilon-t` diagram as shown in figure, average velocity between the interval t = 0 and `t = t_(0)` is independent of `t_(0)`

Reason : Average velocity in the given interval is `(1)/(2)upsilon_(m)`.

Options

A. If both Assertion and Reason are correct and Reason is the correct explanation of assertion.
B. If both Assertion and Reason are correct but Reason in not the correct explanation of Assertion.
C. If Assertion is true but Reason is false.
D. If Assertion is false but Reason is true.

Answer

A

Explanation

Average velocity `=("Displacement")/("Time")=("Area of " upsilon - t" graph")/("Time")`
`((1//2)upsilon_(m)t_(0))/(t_(0))=(1)/(2) upsilon_(m)`