question_answer

A particle starts from origin at \[t=0\] with a velocity \[5/m{{s}^{-1}}\] and moves in \[x-y\] plane under the action of a force which produces a constant acceleration of \[3\hat{i}+2\hat{j}m{{s}^{-2}}\]. The y-coordinate of the particle at the instant when its x-coordinate is 84 m, is

A) 12 m                

B) 24 m

C) 36 m                

D) 48 m

Correct Answer: C

Solution :

The position of the particle is given by where,  is the position vector at  and  is the velocity at Here, Compare it with , we get On solving, we get At