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A particle moves on a straight line with a constant acceleration, a m s^{-2} - AQA - A-Level Maths Pure - Question 12 - 2017 - Paper 2
Question 12
A particle moves on a straight line with a constant acceleration, a m s^{-2}. The initial velocity of the particle is U m s^{-1}. After T seconds the particle has ve... show full transcript
Worked Solution & Example Answer:A particle moves on a straight line with a constant acceleration, a m s^{-2} - AQA - A-Level Maths Pure - Question 12 - 2017 - Paper 2
Step 1
By considering the gradient of the graph, or otherwise, write down a formula for α in terms of U, V and T.
Answer
The acceleration, a, is defined as the rate of change of velocity with respect to time. From the velocity-time graph, the gradient can be expressed as:
This formula represents the change in velocity (final velocity V minus initial velocity U) over the time interval T.