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3-2.Motion in Plane
easy
એક કણના યામ સમય સાથે $x = a{t^2}$ અને $y = b{t^2}$ મુજબ બદલાતા હોય,તો તે કણનો વેગ કેટલો થાય?
A$2t\, (a + b)$
B$2t\,\sqrt {\left( {{a^2} + {b^2}} \right)} $
C$2t\,\sqrt {\left( {{a^2} - {b^2}} \right)} $
D$\sqrt {\left( {{a^2} + {b^2}} \right)} $
(AIIMS-2012)
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}} $
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}} $
Standard 11
Physics
