Question

You observe an object moving under the influence of a force given by F = 2i – 5j. Get the equations of motion for this object using Newton's Second Law directly

Answer 1

The Newton's Second Law of Motion can be written as follows:

$$F=ma.$$

Let's write the equations of motion for the object in projections on axis $x$ and $y$:

$$2\hat{i}=ma_x,$$ $$-5\hat{j}=ma_y.$$