please can I have some help with this question"
"A $0.1$kg inflatable ball floats on the surface of the sea. The current frin the water underneath the ball exerts a force $C=(2i + j)N$ and the wind exerts a force of $W=(3i - 2j)N$ . Initially the ball is at the origin ans has velocity $(1i +1j) ms^-1$.
Find the $X$ and $Y$ coordinates of the ball $t$ seconds later."
What I did first was find the resultant force on the ball then rearranged $F=Ma$ to find the acceleration. I don't know what to do next. I'm guessing you use suvat split into horizontal and vertical components but I don't understand which values I have to substitute into the equations.
Any help/ ideas would be much appreciated. Thank you.
The acceleration would be a constant vector. So use equations of motion to get velocity t seconds later: $\vec v=\vec u +\vec a t$ where $\vec u$ is the initial velocity vector and $\vec v$ is the final velocity vector. (This equation comes from the definition of acceleration: $\vec a=\frac {\vec v-\vec u} t$)