Question

An object with a mass of `3 kg` is acted on by two forces. The first is `F_1= < -2 N , -5 N>` and the second is `F_2 = < 7 N, 1 N>`. What is the object's rate and direction of acceleration?

Answer 1

The resultant force is given as #F = F_1+F_2 = <(-2+7)N,(-5+1)N> = <5N,-4N>#

I do not understand the "rate of acceleration" part, but the magnitude of the acceleration is: `sqrt(5^2+4^2)/3 ms^-2= sqrt41/3 ms^-2`

And the direction is given as:

`theta = tan^-1(-4/5)`