The coordinates of a moving particle at any t | vedclass

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Question

$\begin{array}{l}
r = \,i\,a\,{t^2} + j\,b\,{t^2},\,\,v = \frac{{dr}}{{dt}} = i\,2\,a\,t + \,j\,2\,b\,t\
	herefore \,Magnitude\,of\,V\, = \sqrt {\

Vedclass · Accepted Answer

$2t\,\sqrt {\left( {{a^2} + {b^2}} \right)} $

Vedclass · Answer

$\begin{array}{l}
r = \,i\,a\,{t^2} + j\,b\,{t^2},\,\,v = \frac{{dr}}{{dt}} = i\,2\,a\,t + \,j\,2\,b\,t\
	herefore \,Magnitude\,of\,V\, = \sqrt {\left( {4{a^2}t{\,^2} + 4{b^2}{t^2}} ight)} \
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 2t\,\sqrt {\left( {{a^2} + {b^2}} ight)} 
\end{array}$

The coordinates of a moving particle at any time $t$ are given by $x = a\, t^2$ and $y = b\, t^2$. The speed of the particle is

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