Terminal Velocity (Oxford AQA IGCSE Physics)

Revision Note

Terminal Velocity

  • Objects falling through fluids will experience two forces

    • Weight

    • Drag

  • At the moment the object is released, the only force acting on it is weight

    • It has not yet begun to move through the fluid

    • It is not being supported by any surface

  • The resultant force causes the object to accelerate

  • As the object accelerates, the drag force takes effect

    • The object collides with the particles in the fluid

  • The drag force increases with speed

    • As the object accelerates, speed increases so the drag force increases

    • The greater the speed of the object, the greater the drag force

  • Eventually, the drag force becomes balanced with the weight force

    • There is no resultant force

    • The object falls at a constant velocity

    • This is terminal velocity

Worked Example

A marble falls through a glass cylinder of oil.

Choose words from the list to complete the sentences below:

friction       gravity       air pressure

accelerates       falls at a steady speed       slows down

(a) The weight of an object is the force of __________ which acts on it.

(b) When something falls, initially it ____________.

(c) The faster it falls, the larger the force of ______________ which acts on it.

(d) Eventually the marble ______________ when the force of friction equals the weight.

Answer:

Part (a)

The weight of an object is the force of gravity which acts on it.

  • The force of weight is due to the Earth's gravitational pull on the object, so weight is due to gravity

Part (b)

When something falls, initially it accelerates.

  • The resultant force on the object is large initially, so it accelerates

Part (c)

The faster it falls, the larger the force of friction which acts on it.

  • The drag force is due to friction between the marble and collisions with oil particles

Part (d)

Eventually, the marble falls at a steady speed when the force of friction equals the weight.

  • When the upward drag increases enough to balance the downward weight force, the resultant force on the object is zero

  • Terminal velocity is reached

Parachutes

  • Parachutes can be used to reduce the terminal velocity of an object allowing it to land safely

Forces acting on a skydiver

Diagram showing the phases of a parachute jump for IGCSE & GCSE revision notes
When a skydiver jumps, the resultant force decreases until they reach terminal velocity. After they deploy their parachute a new slower terminal velocity is reached
  • When a skydiver jumps out of a plane, initially the only force acting on them is weight

    • The resultant force acts in the downward direction

    • The skydiver accelerates

  • As the skydiver accelerates, their speed increases so air resistance increases

    • The resultant force acts in the downward direction with a smaller magnitude

    • The skydiver continues to accelerate but at a slower rate

  • Air resistance increases until it is equal to the weight

    • The forces are balanced

    • There is no resultant force

    • Terminal velocity is reached

  • The parachute is deployed increasing the surface area of the skydiver

    • The parachute collides with many more air particles

    • Air resistance increases greatly

  • The force of air resistance is now greater than the force of weight

    • The resultant force acts in the upward direction

    • The skydiver continues falling in the downward direction

    • The skydiver is decelerating

  • As the skydiver decelerates, their speed decreases

    • Therefore air resistance decreases

    • Therefore the resultant force decreases

  • Air resistance decreases until it is equal to the weight

    • The forces are balanced

    • There is no resultant force

    • A new slower terminal velocity is reached

Velocity-time graph of a skydiver

Velocity-time graph of a skydiver's jump. The gradient is initially very steep as the person accelerates. The line then curves toward the horizontal as the air resistance increases to the point at which it is equal to weight. The line dramatically curves downwards when the parachute is opened and the person decelerates. Then the line curves toward the horizontal as a new slower terminal velocity is reached.
The velocity-time graph of a skydiver shows the distinct phases of the jump

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