Finding Displacement: Psychic Squishy Sounds Band's Tour in Texas

Can you correct the picture?In summary, the Psychic Squishy Sounds band traveled 60.0 miles due south from their first concert to Huntsville, and Huntsville is 80.0 miles due north of Houston. Thus, their displacement from the first concert to Houston is -20.0 miles, with south being negative and north being positive.
  • #1
Mikaelangel
2
0

Homework Statement



The Psychic Squishy Sounds band is on tour in Texas and now are resting in Houston. They traveled 60.0 miles due south from their first concert to Huntsville. If Huntsville is 80.0 miles due north of Houston, what is their displacement from the first concert to Houston? Use the convention that north is positive, and south is negative.

Homework Equations





The Attempt at a Solution



+20 - Houston
|
|
0 - First concert
|
|
|
|
-60 - Huntsville


20-0 = 20miles . What to make sure if this is correct.
 
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  • #2
Mikaelangel said:
Huntsville is 80.0 miles due north of Houston

Does that match your picture?
 
  • #3
so, what is the displacement? I just get the problem statement. The picture just shows how I understood the problem.
 
  • #4
Mikaelangel said:
so, what is the displacement? I just get the problem statement. The picture just shows how I understood the problem.

According to the question Huntsville should be north of Houston, but you drew it south of Houston.
 

1. What is displacement?

Displacement is a physical quantity that measures how far an object has moved from its original position. It is a vector quantity, meaning it has both magnitude (distance) and direction.

2. How is displacement different from distance?

Distance is a scalar quantity that measures the total length of the path an object has traveled. Displacement, on the other hand, only measures the change in position from the starting point to the ending point.

3. How do you calculate displacement?

Displacement can be calculated by subtracting the initial position from the final position. This can be represented by the equation Δx = xf - xi, where Δx is the displacement, xf is the final position, and xi is the initial position.

4. Can displacement be negative?

Yes, displacement can be negative. This happens when an object moves in the opposite direction from its initial position. For example, if an object starts at position 5 meters and ends at position 3 meters, its displacement would be -2 meters.

5. How is displacement related to velocity?

Displacement and velocity are closely related. Velocity is the rate of change of displacement, meaning it measures the displacement over time. This can be represented by the equation v = Δx/Δt, where v is the velocity, Δx is the displacement, and Δt is the time elapsed.

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