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 = alpha t^(2) rArr v_(x) = (DX)/(d t) = 2 alpha t` `y = beta t^(2) rArr v_(y) = (dy)/(d t) = 2 beta t` `therefore` velocity `v = SQRT((v_(x)^(2) + v_(y)^(2))) rArr sqrt((2alpha t)^(2) + (2 beta t)^(2))` `= 2t sqrt(alpha^(2) + beta^(2))`