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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 p... 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 $a$ in terms of $U$, $V$, and $T$
Answer
To find the acceleration , we can use the formula derived from the velocity-time graph. The gradient of the velocity-time graph is equal to the acceleration, which gives us:
a = rac{V - U}{T}.