Car Position Calculation: West and East Travel
This question asks for the car's final position relative to where it started, after moving 50 km West and then 30 km East. We need to find the net displacement, considering both distance and direction.
Displacement Concept Explained
Displacement is the net change in position. It's a straight-line distance and direction from the start point to the end point. Unlike total distance travelled, displacement can be positive or negative depending on the direction.
Car Movements Analysis
To solve this, we can treat the directions like numbers on a number line:
- Let the starting point be the origin (0).
- We can define East as the positive direction (e.g., +) and West as the negative direction (e.g., -).
- First movement: The car travels 50 km West. This is represented as \(-50\) km.
- Second movement: The car travels 30 km East. This is represented as \(+30\) km.
Final Position Calculation
To find the final position relative to the start, we add the movements together:
\(\text{Final Position} = (\text{Initial Movement}) + (\text{Subsequent Movement})\) \(\text{Final Position} = (-50 \text{ km}) + (+30 \text{ km})\) \(\text{Final Position} = -20 \text{ km}\)
Interpreting the Result
The calculation gives us \(-20\) km. Since we assigned West as the negative direction, this means the car's final position is 20 km West of its starting point.
Similar Questions
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Select the figure from the options that can replace the question mark (?) and complete the given pattern.
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Town P is to the East of town Q. Town R is to the South of town P. Town T is to the West of town R. Town P is towards which direction of town T?
In a certain coded language.
@ means East
# means West
means North
! means South
For example,
*@means North-East
Mr. Rajan started from his house and moves towards East. After walking for a distance of 20 m, he took aright turn, and walks for 20 m. Then he took a left turn and walk for 15 m. After that he took a right turn and walked 15 m more towards his office. In which direction Mr. Rajan facing now?
Important Questions from Direction and Distance
What is the direction of U with respect to P?
What is the shortest distance between R and T?
If a person walks 3m towards the North from point V, takes a right turn and walks for another 15m, which of the following points would he reach?
In which direction is Amit facing at point F?
What is the distance between the starting point and the end point?
