A particle of mass 2 kg moves with an initial velocity of (4^i+2^j)ms−1 on the x-y plane. A force →F=(2^i−8^j) N acts on the particle. The initial position of the particle is (2 m,3 m). Then for y=3m,
Possible value of x is not only x=2 m, but there exists some other value of x also
→u=(4^i+2^j), →a=→Fm=^i−4^j
Let at any time, the coordinates be (x,y).
x−2=uxt+12axt2
⇒x−2=4t+12t2 and y−3=2t−124t2
⇒y−3=2t−2t2
When y=3 m, t=0, 1 s; when t=0, x=2 m
When t=1 s, x=6.5 m