A particle moves in a plane along an elliptic path given by x² a² + y² b² =1 . At point (0, b) , the x -component of velocity is u . The y-component of acceleration at this point is-

Step-by-step solution

array l x² a² + y² b² =1 u_ x =u at (0, b) u_ y =0 2 x a² d x d t + 2 y b² d y d t =0 array Again diff. w.r.t. to time 2 x a² d² x d t² + 2 a² ( d x d t )²+ array ll 2 y & d² y b² & d t² + 2 b² ( array l d y d t array )=0 array acceleration at (0, b) is a_ y = -b a² u²