Uniformly accelerated motion

Key points

  • Uniformly accelerated motion refers to motion in which the velocity of the object is changing.
  • Acceleration is the rate of change of velocity.
    • It is a vector quantity.

In uniformly accelerated motion the velocity is non-constant. The object speeds up and/or slows down.

  • The graph of velocity vs. time is a non-horizontal straight line.
    • The slope of this graph is the object’s acceleration.
  • Acceleration occurs when a force is acted upon an object.
Uniformly accelerated motion - velocity is not constant
Acceleration is the rate of change of velocity

Acceleration is the rate of change of velocity. It is measured in m/s^2.

  • When acceleration is 0, then there is no change in velocity.
  • Acceleration is a vector quantity, so it requires both a magnitude and direction.
    • Both a positive and negative direction need to be defined for the object’s motion.
    •  
  • Note: there is no such thing as “deceleration”. When something slows down, it is not “decelerating”, it is simply accelerating in a negative direction.

Suppose we choose a time interval from t = 0 to some arbitrary time t later. 

Let the velocity at time t = 0 (initial velocity) be and the velocity at time t be v (final velocity). Then we get the following expression for acceleration: 

Acceleration is the rate of change of velocity - deep explanation

Formula Booklet

IB Kinematics Formula Equation #1
  • Rewriting the expression above leaves us with the formula booklet expression. 
  • The final velocity is equal to initial velocity plus the acceleration the object experienced during a given time interval

Frequently Asked Questions

  • Why is the unit of acceleration m/s^2?
    • Acceleration is calculated with the composite of two kinematic equations.
      • Acceleration is time time it takes to change your velocity. Velocity is the time it takes to change your position. 
        • Combining these steps, acceleration is measured in distance units over time x time.
          • time X time is time squared, so we use s^2.
  • Can acceleration be negative?
    • Yes! Depending on the directions assigned to the objects motion.
    • Negative acceleration is what we would commonly refer to as “deceleration”.
    • When the velocity of the object increases in the negative direction (away from positive), acceleration is negative.

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