Velocity-time curve for a body projected vertically upwards is
A
Parabola
B
Ellipse
C
Hyperbola
D
Straight line
Step-by-Step Solution
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 .
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.
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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