Acceleration — Science definition

Defined in 2 courses:

Where it is taught

In use

Acceleration measures how quickly velocity is changing — how fast you're speeding up, slowing down, or turning.

Speed, Velocity & Acceleration

Acceleration is the next step up: the rate at which velocity changes, a = (v − v₀) ÷ t, measured in meters per second per second, or m/s².

Velocity & Acceleration

Questions using acceleration

Problem 1

A skateboarder speeds up from 2 m/s to 8 m/s in 3 seconds. Find the acceleration.
Answer and explanation

2 m/s²

Acceleration = (8 − 2) ÷ 3 = 6 ÷ 3 = 2 m/s².

Problem 2

A car slows from 30 m/s to 10 m/s in 4 seconds. What is its acceleration? (Include the correct sign.)
Answer and explanation

-5 m/s²

Acceleration = (10 − 30) ÷ 4 = −20 ÷ 4 = −5 m/s². The negative sign shows it's slowing down.

Problem 3

Velocity changes from 2 m/s east to 10 m/s east in 4 s. Calculate average acceleration.
Hints

State what the supplied observations or conditions establish, and separate that from any assumption.

Answer and explanation

(10−2)/4=2 m/s² east, assuming east is positive.

Problem 4

Right is positive. A cart changes velocity from −2 to −8 m/s in 3 s. Calculate average acceleration and explain whether it speeds up or slows down.
Answer and explanation

(−8−(−2))/3 = −2 m/s². It speeds up toward the left because speed rises from 2 to 8 m/s.

Subtract signed velocities before dividing.

Compare velocity direction with acceleration direction.

Response criteria

  • Calculate −2 m/s².
  • Explain leftward motion.
  • Reject negative-always-slows.

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