Checking my work - Displacement

In summary, the boat travels 100km[N], then 40km[N], and finally 80km [S], with a total displacement of 60km [N] and a total trip time of 6.5 hours. The correct calculation for the total displacement is d = d2-d1 = 140km [N] - 80km [S] = 60km [N].
  • #1
kristy_vincen
3
0
A boat which travels 100km[N], then 40km[N], and finally 80km . The entire trip takes 6.5 hours.
Calculate the total displacement of the boat

d = d2-d1
d = (-80) - 140
d = -220
d = 220km

Just want to make sure this is correct.

Thanks
 
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  • #2
kristy_vincen said:
A boat which travels 100km[N], then 40km[N], and finally 80km . The entire trip takes 6.5 hours.
Calculate the total displacement of the boat

d = d2-d1
d = (-80) - 140
d = -220
d = 220km

Just want to make sure this is correct.

Thanks
Well, no, you are calculating the distance the boat travels (which has magnitude only, a scalar quantity), not the displacement (which is a vector quantity with magnitude and direction).
The boat travels 140 km north, then does a 180 degree turn and heads back traveling 80 km south. Where does it end up? (Draw a sketch). And welcome to PF! :smile:
 
  • #3
Okay, so, I'm looking for the distance between the start and the finish.

d = d2-d1
d = 140 - 80
d = 60km [N]

Please tell me that's correct!
 
  • #4
Yes, the displacement is 60 km [N].:approve:
 
  • #5
for checking your work! Your calculations are correct. The total displacement of the boat is 220km south. This means that the boat ended up 220km south of its starting point. Keep up the good work!
 

Related to Checking my work - Displacement

1. What is displacement?

Displacement is a measurement of the distance and direction that an object has moved from its starting position. It is a vector quantity, meaning it has both magnitude (size) and direction.

2. How is displacement different from distance?

Distance is the total amount of ground covered by an object, while displacement takes into account the starting and ending positions. For example, if you walk in a circle and end up back at your starting point, your distance would be the circumference of the circle, but your displacement would be zero because you ended up back where you started.

3. How is displacement calculated?

Displacement can be calculated by subtracting the initial position from the final position. This gives you the straight-line distance between the two points, as well as the direction of the displacement.

4. Can displacement be negative?

Yes, displacement can be negative if the final position is to the left or below the initial position. This indicates that the object has moved in the opposite direction of the positive direction defined in the coordinate system.

5. What are some real-world examples of displacement?

An object falling from a height, a person walking in a straight line, and a car driving along a curvy road are all examples of displacement. In each case, the object's starting and ending positions are different, and the displacement measures the change in position.

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