Displacement Calculator
Displacement Calculator
| Quantity | Value |
|---|---|
| Initial Velocity (u) | 10.00 m/s |
| Acceleration (a) | 2.00 m/s² |
| Time (t) | 5.00 s |
| Displacement (s = ut + ½at²) | 75.00 m |
| Final Velocity (v = u + at) | 20.00 m/s |
| Average Velocity (s ÷ t) | 15.00 m/s |
| Displacement (km) | 0.075 km |
Velocity Over Time
Area under the line = displacement (75.0 m)
About the Displacement Calculator
Under constant acceleration, displacement is s = ut + ½at²: the initial-velocity term plus the extra ground covered as speed grows. With u = 10 m/s and a = 2 m/s² over 5 seconds, that is 50 m + 25 m = 75 m — while final velocity reaches v = u + at = 20 m/s.
Why the Average Works
Velocity increases linearly from u to v, so its average is the midpoint (u + v) ÷ 2 = 15 m/s, and 15 m/s × 5 s = 75 m — matching the area under the velocity-time line. This geometric view is why the formula takes exactly this shape.
Frequently Asked Questions
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