Enter the values and click the 'Calculate' button to determine the displacement (distance traveled) of an object from its starting point.
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Use this displacement calculator to find the change in position of an object. It lets you calculate displacement under various conditions of motion using different formulas:
S = v × t
S = u t + ½ a t²
S = ½ (v + u) t
"Displacement is the shortest distance an object travels in a straight line from its starting point to its ending point."
It represents the change in position of an object, considering both magnitude and direction.
Example: A car moves 20 meters east, then 10 meters west. The total distance traveled is 30 meters (20 + 10), but the displacement is 10 meters east, as this is the net change in position.
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If a car moves with an average velocity of 40 m/s for 120 s, the displacement is:
S = v × t = 40 × 120 = 4800 m
A body starts from rest and reaches a velocity of 80 m/s after 30 s. Assuming constant acceleration:
S = ½ (v + u) t = ½ (80 + 0) × 30 = 1200 m
A car has an initial velocity of 20 m/s and acceleration 2 m/s² for 15 s. Find displacement:
S = u t + ½ a t² = 20 × 15 + ½ × 2 × 15² = 300 + 225 = 525 m
| Feature | Distance | Displacement |
|---|---|---|
| Definition | Total length of the path traveled | Straight-line path from start to end |
| Direction | No | Yes |
| Quantity | Scalar | Vector |
| Possible values | Always positive or zero | Positive, negative, or zero |
| Path dependence | Depends on actual path | Independent of path |
| Measurement | Along any path | Straight line from start to end |
| Example | Car drives a curvy route for 10 km | Person walks 4 steps east, then 4 steps west → displacement 0 km |
Measure the final and initial positions, then subtract:
d = |x₂ - x₁|
No. Displacement is always equal to or less than the total distance traveled by an object.
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