Question

x and y co-ordinates of a particle moving in x–y plane at some instant are x = 2t² and y = (3/2) t² Calculate y co-ordinate when its x coordinate is 8m. 

(A) 3 m 

(B) 6 m 

(C) 8 m 

(D) 9 m

Answer 1

Correct option: (B) 6 m

Explanation:

x = 2t² 

y = (3/2)t² 

when  x = 8m then (8/2) = t² i.e. t = 2s

hence y when t = 2 is (3/2)(2)² = 6m