The coordinates of a body moving in a plane at any instant of time t are x=alphat^(2) and y = betat^(2). The velocity of the body is

The coordinates of a body moving in a plane at any instant of time t a

1.	The coordinates of a body moving in a plane at any instant of time t are x=alphat^(2) and y = betat^(2). The velocity of the body is
Answer» Solution :`x=alphat^(2)rArrv_(x)=(dx)/(dt)=2alphat` `y = betat^(2).rArr v_(y)=(dy)/(dt)=2betat` `:."VELOCITY" v = SQRT((2alphat)^(2)+(2betat)^(2))` `=2tsqrt(alpha^(2)+BETA^(2))`