Acceleration Calculator - Rate of Change of Velocity

This physics calculator helps you calculate acceleration using initial velocity, final velocity, and time. Acceleration is the rate at which velocity changes over time.

Acceleration Definition

• Acceleration: Rate of change of velocity with respect to time
• Formula: a = Δv/Δt = (v_f - v_i) / t
• Vector: Has both magnitude and direction
• Units: Distance per time squared (m/s²)

Types of Acceleration

• Positive Acceleration: Velocity increases (speeding up)
• Negative Acceleration: Velocity decreases (slowing down)
• Zero Acceleration: Constant velocity (no change)
• Uniform Acceleration: Constant rate of change
• Variable Acceleration: Changing rate of change

Acceleration Units

• m/s²: SI unit of acceleration
• km/h²: Metric unit for vehicle acceleration
• ft/s²: Imperial unit
• g: G-force (1 g = 9.80665 m/s²)

Applications

• Transportation: Vehicle performance analysis
• Sports: Athletic performance measurement
• Physics: Motion and dynamics problems
• Engineering: Machine design and safety
• Space Science: Rocket and spacecraft design

Acceleration Categories

• Linear Acceleration: Change in speed along a straight line
• Angular Acceleration: Change in rotational speed
• Centripetal Acceleration: Acceleration toward center of circular path
• Tangential Acceleration: Acceleration along the path

Important Notes

• Acceleration is a vector (has direction)
• Deceleration is negative acceleration
• Free fall acceleration = 9.8 m/s² (Earth)
• Acceleration can be constant or variable
• Force is related to acceleration: F = ma

Acceleration Relationships

• Force: F = ma (Newton's Second Law)
• Displacement: s = v_i t + ½at² (for uniform acceleration)
• Final Velocity: v_f = v_i + at
• Kinetic Energy: KE = ½mv² (depends on velocity)

G-Force Effects

• 1g: Normal Earth gravity
• 2-3g: Most people can tolerate
• 5-6g: Trained pilots can handle
• 9g: Human tolerance limit
• High g: Can cause blackout or injury