A body of mass 1 ~kg starting from origin with initial velocity of 3 i +4 j ms ⁻¹ . If a constant force of 2 i -3 j acts on it, find the coordinate of point it reaches in 3 ~s .

Step-by-step solution

Given, initial velocity, u=3 i +4 s Force, F=2 i -3 j Initial velocity along X -axis and Y_ -axis are u_ x =3 ~ms ⁻¹ and u_ y =4 ~ms ⁻¹ , respectively. Similarly, F_ x =2 ~N and F_ y =-3 ~N If acceleration along X and Y -axes are a_ x and a_ y , then a_ x = F_ x m = 2 1 =2 ~m / s ² [ F=m a] aligned a_ y &= F_ y m = -3 1 =-3 ~m / s ² s_ x &=u_ x t+ 1 2 u_ x l²=3 3+ 1 2 2 9=18 un s_ y &=u_ y t+ 1 2 a_ y t²=4 3+ 1 2 (-3) 9 &=12-13.5=-1.5 ~m aligned So, required x and y -coordinates of point =(18,-15)