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An object moves from rest - Edexcel - A-Level Physics - Question 10 - 2023 - Paper 1

Question 10

An object moves from rest. The graph shows how the acceleration a varies with time t: Which of the following graphs best shows how the velocity y of the object vari... show full transcript

Worked Solution & Example Answer:An object moves from rest - Edexcel - A-Level Physics - Question 10 - 2023 - Paper 1

Step 1

Determine the relationship between acceleration and velocity

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Answer

To determine how velocity varies with time when acceleration is known, we must consider the relationship between these two quantities. The acceleration is defined as the rate of change of velocity with respect to time:

$a = \frac{dv}{dt}$

This shows that if acceleration is constant (in this case, it is increasing linearly), velocity will change at a non-linear rate.

Step 2

Analyze the given acceleration graph

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Answer

The provided graph indicates that acceleration increases linearly over time. This means that the acceleration of the object is not constant but is increasing as time passes.

Step 3

Select the appropriate velocity graph

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Answer

Given that the acceleration is increasing, the velocity graph should reflect that the increase in velocity is not linear; rather, it should show a curve that becomes steeper as time goes on. Therefore, the correct graph representing how velocity y varies with time t is graph B.

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