Displacement Calculator
Calculate displacement using initial velocity, final velocity, and time with the formula: s = ½(v + u)t
Calculation Results
| Variable | Value | Unit |
|---|---|---|
| Initial Velocity (u) | m/s | |
| Final Velocity (v) | m/s | |
| Time (t) | s | |
| Displacement (s) | m |
This calculator uses the displacement formula derived from the equations of motion:
Where:
- s = displacement (distance traveled)
- v = final velocity
- u = initial velocity
- t = time
The formula calculates displacement by finding the average velocity (½(v + u)) and multiplying it by the time traveled.
Example Problem 1
A car traveled down a road for 45 seconds. The car turned onto the street at 20 m/s and by the end of the street it was traveling 23 m/s. How long is the street?
Solution: s = ½(20 + 23) × 45 = 967.5 meters
Example Problem 2
When a pitcher throws a pitch from the pitcher’s mound, he is about 60 feet from home plate. If the ball leaves his hand at 132 ft/s and reaches home plate with a speed of 110 ft/s, how long does it take the ball to travel from the mound to home plate?
Solution: t = 2 × 60 / (132 + 110) = 0.496 seconds
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