A car moving along a straight highway from point P to point Q at a distance of 3 km (from P) then t point R at a distance of 5 km from Q and then to point S at a distance of 7 km from point R, then back to point Q and finally to the point R (all via the same path). Find the displacement travelled by car in km.
Question
A car moving along a straight highway from point P to point Q at a distance of 3 km (from P) then t point R at a distance of 5 km from Q and then to point S at a distance of 7 km from point R, then back to point Q and finally to the point R (all via the same path). Find the displacement travelled by car in km.
Solution
To find the displacement traveled by the car, we need to calculate the net change in position from the starting point to the final point.
Step 1: The car moves from point P to point Q, a distance of 3 km. This is the initial displacement.
Step 2: The car then moves from point Q to point R, a distance of 5 km. This adds to the displacement.
Step 3: The car continues from point R to point S, a distance of 7 km. This also adds to the displacement.
Step 4: The car goes back from point S to point Q, following the same path. This does not change the displacement.
Step 5: Finally, the car moves from point Q to point R again, a distance of 5 km. This adds to the displacement.
To calculate the total displacement, we add up the individual displacements:
Initial displacement: 3 km Displacement from Q to R: 5 km Displacement from R to S: 7 km Displacement from Q to R (second time): 5 km
Total displacement = 3 km + 5 km + 7 km + 5 km = 20 km
Therefore, the car has traveled a total displacement of 20 km.
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