Realizing you are almost out of gas, you decide to go to the gas station after work. You make it 8.0 kilometers before your car stops working and walk the remaining distance of two kilometers. What is your total displacement from work?
Your total displacement from work is 2 kilometers.
To calculate your total displacement from work, we need to consider the distance you drove in the car and the distance you walked.
Distance driven in the car: 8.0 kilometers
Distance walked: 2.0 kilometers
To find the total displacement, we can add the distance driven in the car and the distance walked:
Total displacement = distance driven + distance walked
Total displacement = 8.0 kilometers + 2.0 kilometers
Total displacement = 10.0 kilometers
Therefore, your total displacement from work is 10.0 kilometers.
To calculate the total displacement from work, we need to consider both the distance you drove before your car stopped working and the distance you walked. Displacement is a vector quantity, meaning it has both magnitude (value) and direction.
First, let's calculate the displacement from driving. You drove 8.0 kilometers before your car stopped, and assuming you were driving towards your workplace, we can assign a positive direction to this distance. Therefore, the displacement from driving is +8.0 kilometers.
Next, let's calculate the displacement from walking. You walked 2 kilometers, and assuming you walked towards your workplace, we can also assign a positive direction to this distance. Therefore, the displacement from walking is +2.0 kilometers.
To find the total displacement, we simply add the displacements together:
Total displacement = Displacement from driving + Displacement from walking
Total displacement = (+8.0 km) + (+2.0 km)
Total displacement = +10.0 kilometers
So, your total displacement from work is +10.0 kilometers, indicating that you are 10.0 kilometers away from your workplace in the positive direction.