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Speed, Distance, Time Calculator: The Physics of Motion

Calculate speed, distance, or time from any two known values. Understand the d=st formula with real-world examples from driving to physics.

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The Speed, Distance, Time Formula

The fundamental relationship between speed, distance, and time is: Distance = Speed × Time (d = s × t). Rearranged: Speed = Distance/Time (s = d/t), and Time = Distance/Speed (t = d/s).

For a car traveling 65 mph for 3 hours: d = 65 × 3 = 195 miles. For a 300-mile trip at 75 mph: t = 300/75 = 4 hours. For traveling 150 miles in 2.5 hours: s = 150/2.5 = 60 mph.

This formula assumes constant speed — a simplification that works well for estimates but not for precise physics calculations involving acceleration. In classical mechanics, when speed varies, the relationship involves integration of velocity over time.

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Frequently Asked Questions

What is the difference between speed and velocity?

Speed is a scalar — it has magnitude only (e.g., 60 mph). Velocity is a vector — it has both magnitude and direction (e.g., 60 mph north). In everyday language they're often used interchangeably, but in physics they're distinct. Two cars both going 60 mph in opposite directions have the same speed but different velocities.

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