AQA GCSE Physics 8463
Atomic Structure
Electricity
Energy
Forces
Magnetism and Electromagnetism
Particle Model of Matter
Space Physics
Waves
Forces
Area under a velocity-time graph, and the uniform acceleration equation
- 2 things to know
- Paper 2
Overview
When the equation linking final velocity, initial velocity, acceleration and distance applies, the equation in words and in the symbols v, u, a and s with its units and calculations, free fall at 9.8 m/s² and the speed of a dropped stone, terminal velocity in a fluid, and the velocity of a skydiver before and after the parachute opens.
What you need to know
Answer each one before you reveal it.
Write the uniform acceleration equation using the symbols v, u, a and s.
Questions from this subtopic
Each one with the model answer underneath.
- 1
To what kind of motion does the equation linking final velocity, initial velocity, acceleration and distance apply?
Model answer
It applies only to motion with uniform, that is constant, acceleration.
- 2
State in words the equation linking final velocity, initial velocity, acceleration and distance for uniform acceleration.
Model answer
Final velocity squared minus initial velocity squared = 2 × acceleration × distance.
- 3
Write the uniform acceleration equation using the symbols v, u, a and s.
Model answer
v² − u² = 2as.
- 4
A car starts from rest and accelerates uniformly at 2 m/s² over a distance of 100 m. Calculate its final velocity.
Model answer
The final velocity is 20 m/s, because v² = 2 × 2 m/s² × 100 m = 400.
- 5
A train travelling at 30 m/s decelerates uniformly at 0.5 m/s² over 500 m. Calculate its velocity at the end of that distance.
Model answer
Its velocity is 20 m/s, because v² = 900 − 2 × 0.5 m/s² × 500 m = 400.
- 6
In the uniform acceleration equation, what does the symbol v stand for and in what unit is it measured?
Model answer
v is the final velocity, measured in metres per second, m/s.
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