A) \[2t(a+b)\]
B) \[2t\sqrt{({{a}^{2}}-{{b}^{2}})}\]
C) \[t\,\sqrt{{{a}^{2}}+{{b}^{2}}}\]
D) \[2t\sqrt{({{a}^{2}}+{{b}^{2}})}\]
Correct Answer: D
Solution :
Velocity along X-axis \[{{v}_{x}}=\frac{dx}{dt}=2at\] Velocity along Y-axis \[{{v}_{y}}=\frac{dy}{dt}=2bt\] Magnitude of velocity of the particle, \[v=\sqrt{v_{x}^{2}+v_{y}^{2}}=2t\sqrt{{{a}^{2}}+{{b}^{2}}}\]
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