A body is thrown vertically upwards. Which one of the following graphs correctly represents the velocity vs time?

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Solution

The correct option is D
Velocity of body thrown vertically upwards
$v_{f} = v_{i} + a t$
where $a = - g$ (always acts in downward direction)
$∴ v_{f} = v_{i} - g t$
at $t = \frac{v_{i}}{g}$ , we get $v_{f} = 0$
for $t > \frac{v_{i}}{g}$ , $v_{f}$ is negative.
Also slope of graph
$= \frac{- g}{v_{i}}$ (negative)

So, $v - t$ graph is a straight line with positive $y$ intercept and negitive slope.

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