When to use this calculator
Find when a faster pursuer reaches a slower object ahead. Both move in the same direction at constant speeds and the pursuer starts behind.
Explore the motion & kinematics calculators for other questions in this topic. For a related calculation, use the Centripetal Acceleration Calculator: Calculate inward acceleration for uniform circular motion.
PUTTING IT INTO PRACTICE
Catch Up Time: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Initial separation (m) | 100 |
| Pursuer speed (m/s) | 10 |
| Leader speed (m/s) | 5 |
| Result | 20 s |
- Check the input labels and enter the example values above.
- Apply the relationship: Catch-up time = initial separation/(pursuer speed−leader speed).
- The result is 20 s, rounded for display.
How to interpret your result
Both move in the same direction at constant speeds and the pursuer starts behind.
Choose a reference direction before using signed velocities. Constant-acceleration models do not capture variable braking or drag. Projectile tools explicitly state launch and landing assumptions.
Frequently asked questions
Are displacement and distance interchangeable?
No. Displacement is the signed or directed change in position; distance counts the length of the path travelled.
When is the catch up time calculator useful?
Find when a faster pursuer reaches a slower object ahead. Both move in the same direction at constant speeds and the pursuer starts behind.
How do I use the catch up time calculator?
Enter initial separation (m), pursuer speed (m/s), leader speed (m/s). The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Catch-up time = initial separation/(pursuer speed−leader speed).
What should I check before using the result?
Both move in the same direction at constant speeds and the pursuer starts behind.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
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