Read the scenario.
A cyclist starts at a position of 0 m and takes 3 s to move east to a position of +8 m. He then cycles west to a position of +5 m which takes an additional 2 s.
What is the cyclist’s displacement?
- 8 m
+5 m
-5 m
+11 m
can someone show me how to do this?
The distance from start to finish.
The displacement is +5m.
thanks
To find the cyclist's displacement, we need to calculate the difference between his initial position and his final position.
Given information:
1. The cyclist starts at a position of 0 m and moves east to a position of +8 m in 3 s.
2. He then cycles west to a position of +5 m in an additional 2 s.
We can break down the problem into two parts:
Part 1: Calculating the displacement when the cyclist moves east.
Part 2: Calculating the displacement when the cyclist moves west.
Part 1:
The cyclist moves from 0 m to +8 m in 3 s, thus he covers a distance of +8 m - 0 m = 8 m. Since he is moving east, his displacement is positive (+8 m).
Part 2:
The cyclist moves from +8 m to +5 m in 2 s, thus he covers a distance of +5 m - +8 m = -3 m. Since he is moving west, his displacement is negative (-3 m).
Now, to calculate the total displacement, we add the displacements for both parts together:
Total displacement = (+8 m) + (-3 m) = +5 m
Therefore, the cyclist's displacement is +5 m.
Sure! To find the cyclist's displacement, we need to first understand what displacement means. Displacement refers to the change in position of an object from its initial position to its final position.
In this scenario, the cyclist starts at a position of 0 m and moves east to a position of +8 m. This means that the cyclist has moved a distance of +8 m from their initial position.
Next, the cyclist cycles west to a position of +5 m. This means that the cyclist has moved a distance of -3 m from their current position (since they are moving in the opposite direction of their initial eastward movement).
To find the total displacement, we need to add up the individual displacements. The displacement of +8 m from the initial eastward movement is positive and the displacement of -3 m from the subsequent westward movement is negative.
Therefore, the total displacement is +8 m + (-3 m) = +5 m.
So, the cyclist's displacement is +5 m.
I hope that helps!