Speed – Distance – Time Calculator – Tutorial
On this page, you can find the logic, usage, and important details of the Speed – Distance – Time Calculator calculator.
Speed – Distance – Time (Uniform Motion)
Uniform motion (constant speed) is movement where the speed does not change over time (acceleration = 0). The mathematics is straightforward: distance, speed, and time have a linear relationship.
1) The Basic Formula
s = v · t
- s: distance traveled (meters, m)
- v: speed (m/s or km/h)
- t: time (seconds, s)
Rearranging to find the other unknowns
- Speed: v = s / t
- Time: t = s / v
2) Units and Conversions
The SI system uses m, s, and m/s. In everyday life, speed is often given in km/h:
- km/h → m/s: v(m/s) = v(km/h) / 3.6
- m/s → km/h: v(km/h) = v(m/s) × 3.6
Example: 72 km/h = 72 / 3.6 = 20 m/s
3) What Is Constant Speed? (Physics Interpretation)
Constant speed means the object travels the same distance every second.
- Speed does not change → acceleration a = 0
- Distance–time graph is a straight line
- Speed–time graph is a horizontal line
4) Graphs: What Do v–t and s–t Tell Us?
4.1) Speed–Time Graph (v–t)
At constant speed, the v–t graph is a horizontal line.
Key insight: the area under the v–t graph = distance traveled
At constant speed: area = v × t. This is the graphical interpretation of s = v · t.
4.2) Distance–Time Graph (s–t)
At constant speed, distance increases linearly with time. The slope of the s–t graph equals the speed.
5) What Does This Calculator Do?
5.1) Modes
- Speed + Time → Distance: s = v · t
- Distance + Time → Speed: v = s / t
- Distance + Speed → Time: t = s / v
5.2) Table Logic
The table starts from 0 and steps up to t at each Δt interval, showing time, constant speed, and accumulated distance.
6) Step-by-Step Example
Suppose a vehicle travels at v = 10 m/s for t = 12 s.
- Distance: s = v · t = 10 × 12 = 120 m
7) Common Mistakes
- Mixing units: km/h and m/s are not the same.
- Entering 0 or negative time: Time must be positive in physics, t > 0.
- Very small Δt: Creates too many rows and may slow down the page.
Note: This guide assumes no acceleration (a=0) and linear motion.