# An object with a mass of #3 kg# is acted on by two forces. The first is #F_1= < 2 N , 8 N># and the second is #F_2 = < 2 N, -3 N>#. What is the object's rate and direction of acceleration?

The rateof acceleration is

The resultant force is

We apply Newton's second Law

The magnitude of the acceleration is

The angle is in the 1st quadrant

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To find the object's acceleration, you need to calculate the net force acting on the object using the given forces, and then apply Newton's second law:

[ F_{\text{net}} = m \times a ]

Where:

- ( F_{\text{net}} ) is the net force
- ( m ) is the mass of the object (3 kg in this case)
- ( a ) is the acceleration

Add the given forces vectorially to find the net force. Then, divide by the mass to find the acceleration vector.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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