# An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= < -2 N , -6 N># and the second is #F_2 = < 5 N, 2 N>#. What is the object's rate and direction of acceleration?

##### 1 Answer

Jun 26, 2016

The rate of acceleration is

Directed along the vector

#### Explanation:

Let's add two vectors that represented these two forces:

Now, applying the Second Newton's Law, acceleration is a vector with the following components:

The rate of acceleration is the length of this vector: