Velocity-time curve for a body projected vertically upwards is

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1. **Equation of Motion:** A body projected vertically upwards moves under the influence of constant acceleration due to gravity ($g$). The velocity ($v$) at any time ($t$) is given by the first equation of motion: $v = u - gt$, where $u$ is the initial upward velocity .
2. **Linear Relationship:** The equation $v = u - gt$ is a linear equation of the form $y = mx + c$, where the slope $m = -g$ (constant) and intercept $c = u$. 
3. **Graphical Representation:** A linear relationship between velocity and time plots as a **straight line** on a graph. The negative slope indicates that velocity decreases uniformly as the body rises .

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