Speed, Distance, and Time Calculator - Physics Motion Solver

Speed, Distance & Time Calculator

Solve for: Speed (s = d ÷ t) Distance (d = s × t) Time (t = d ÷ s)

Distance (km):

Time (hours):

Speed (km/h):

Result

0.00

Speed, Distance & Time Calculator

Solve kinematics motion problems: calculate Speed ($s$), Distance ($d$), or Time ($t$).

Choose Unknown Variable to Solve: Calculate Speed ($s = d \div t$) Calculate Distance ($d = s \times t$) Calculate Time ($t = d \div s$)

Distance ($d$):

Time ($t$ in hours):

Speed ($s$):

Calculated Speed

0.00

In Miles per Hour (mph)

0.00

In Meters per Second (m/s)

0.00

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Speed, Distance and Time Calculator: Kinematics Formulas Explained

In kinematics, motion is described using three fundamental variables: Speed ($s$), Distance ($d$), and Time ($t$). Understanding how these elements relate to one another forms the foundation of classical mechanics and everyday travel calculations.

Our free Speed, Distance & Time Calculator allows students, drivers, and engineers to compute any missing variable instantly with multi-unit conversions (kilometers, miles, meters per second, and hours).

The Motion Triangle and Core Formulas

The core mathematical relationship between speed, distance, and time can be expressed through three distinct equations derived from the primary formula:

Core Equation:
$$\mathbf{Speed = \frac{Distance}{Time} \quad \Rightarrow \quad s = \frac{d}{t}}$$
Derived Variations:
• Distance ($d$): $\mathbf{d = s \times t}$
• Time ($t$): $\mathbf{t = \frac{d}{s}}$

Summary Table of Motion Equations

Unknown Variable	Formula	Required Inputs	Standard SI Unit
Speed ($s$)	$s = d \div t$	Distance & Time	$\text{m/s}$ or $\text{km/h}$
Distance ($d$)	$d = s \times t$	Speed & Time	Meters ($\text{m}$) or Kilometers ($\text{km}$)
Time ($t$)	$t = d \div s$	Distance & Speed	Seconds ($\text{s}$) or Hours ($\text{hrs}$)

Worked Practical Examples

Example 1: Calculating Travel Time

Problem: A vehicle is driving at a constant speed of $80\text{ km/h}$ over a total distance of $240\text{ km}$. How long will the journey take?

Solution:
1. Identify inputs: $d = 240\text{ km}$, $s = 80\text{ km/h}$.
2. Apply formula: $t = d \div s$.
3. $t = 240 \div 80 = 3\text{ hours}$.
The entire trip will take exactly 3 hours.

Frequently Asked Questions (FAQs)

What is the difference between speed and velocity?

Speed is a scalar quantity representing only how fast an object is moving. Velocity is a vector quantity that includes both speed and the specific direction of motion.

How do you convert $\text{km/h}$ to $\text{m/s}$?

To convert kilometers per hour into meters per second, simply divide the speed value by $3.6$ (e.g., $90\text{ km/h} \div 3.6 = 25\text{ m/s}$).