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Physics · Kinematics

Speed Distance Time Calculator

Solve kinematics speed equations using interactive formula triangles, unit converter matrices, and multi-leg route calculators.

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Kinematic Formula
Speed = Distance / Time
Hours
Minutes
Seconds
Calculated speed
60.00

km/h

Miles / Hour37.28 mph
Meters / Second16.67 m/s
Knots32.40 kn
Mach Speed0.0490 M

🛣️ Route Journey Planner

Add dynamic steps to resolve cumulative splits.

LegDistance (km)Avg Speed (km/h)Delete
#1
#2
TOTAL370.0 kmOverall Avg: 92.5 km/h04:00:00
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SDT Formula Guide

The Kinematic Speed-Distance-Time trio maps the elementary equation of motion.

Clicking different quadrants of the interactive SVG triangle dynamically alters the calculated property:

  • Speed (S): Computed as distance divided by elapsed time (d / t).
  • Distance (D): Computed as traveling speed multiplied by traveling duration (S × t).
  • Time (T): Computed as total distance divided by average velocity (d / S).

Common FAQs

What is the difference between speed and velocity?
Speed represents a scalar property mapping rate of position change without directional coordinate bias, whereas velocity represents a vector aligning rate and strict directional heading coordinates.
How is average speed calculated for multiple legs?
To resolve overall trip averages, calculate cumulative distance divided by cumulative time. Do not compute simple averages of individual leg speeds, as duration spent at each speed varies.
Why do we include Mach conversions?
Mach speed correlates object velocities against the localized speed of sound. Including Mach conversions allows aerospace engineers and enthusiasts to easily map sonic speed ratios.

The Triangle Everyone Half-Remembers

s = d/t in real situations

Cover the one you want, multiply or divide the other two:

QuestionFormulaExample
How long will the trip take?t = d ÷ sLahore–Islamabad, 375 km at 100 km/h ≈ 3 h 45 m
What speed do I need?s = d ÷ t375 km in 3 h → 125 km/h (don't)
How far did I go?d = s × t2.5 h at 80 km/h = 200 km
Pace ↔ speed (runners)Invert6 min/km = 10 km/h
Average of a round tripTotal d ÷ total tNOT the average of the two speeds

The classic traps

Mixed units sink most answers: km with minutes, m/s with km/h (×3.6 converts) — normalize before calculating. The round-trip trap: drive out at 60 and back at 40, and the average is 48, not 50 — slower legs eat disproportionate time. And real trip planning needs moving speed vs overall speed: motorway averages collapse once city traffic, stops and tolls join the divisor.

Adjacent calculations

Unit gymnastics (mph ↔ km/h, knots, m/s) resolve in the unit converter; physics numericals that add acceleration outgrow this triangle and move to the scientific calculator; and journey durations across midnight or time zones sanity-check in the date difference calculator.