A) parabola
B) ellipse
C) hyperbola
D) straight line
Correct Answer: D
Solution :
From equation of motion, we have \[v=u=gt\]where v is final velocity, u is initial velocity, g is acceleration due to gravity and t is time. Since, body is projected vertically upwards final velocity u = 0. \[{{m}_{1}}=1g,\,{{m}_{2}}=9g,\,{{K}_{1}}={{K}_{2}}=K\] \[\therefore \] This equation is form of straight line equation \[\frac{{{p}_{1}}}{{{p}_{2}}}=\frac{\sqrt{2\times 1\times K}}{\sqrt{2\times 9\times K}}=\frac{1}{3}\] Hence, graph between velocity and time is a straight line.
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