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Here is the velocity-time graph for a car for the first 20 s of a journey - Edexcel - GCSE Physics - Question 5 - 2013 - Paper 1

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Here is the velocity-time graph for a car for the first 20 s of a journey. (i) Calculate the change in velocity of the car during the first 5 s. (ii) Calculate the... show full transcript

Worked Solution & Example Answer:Here is the velocity-time graph for a car for the first 20 s of a journey - Edexcel - GCSE Physics - Question 5 - 2013 - Paper 1

Step 1

Calculate the change in velocity of the car during the first 5 s.

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Answer

To find the change in velocity during the first 5 seconds, we read the graph. At 0s, the velocity is 0 m/s, and at 5s, the velocity reaches 8 m/s. Thus, the change in velocity can be calculated as:

Change in velocity=Final velocityInitial velocity=8 m/s0 m/s=8 m/s\text{Change in velocity} = \text{Final velocity} - \text{Initial velocity} = 8 \text{ m/s} - 0 \text{ m/s} = 8 \text{ m/s}

Step 2

Calculate the acceleration of the car during the first 5 s.

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Answer

Acceleration is defined as the change in velocity over time. Using the change in velocity found in part (i) and the time interval of 5 seconds:

Acceleration=Change in velocityTime=8 m/s5 s=1.6 m/s2\text{Acceleration} = \frac{\text{Change in velocity}}{\text{Time}} = \frac{8 \text{ m/s}}{5 \text{ s}} = 1.6 \text{ m/s}^2

Step 3

State the size of the resultant force between 10 s and 15 s.

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Answer

From the graph, we see that between 10 s and 15 s, the velocity remains constant at 12 m/s. Thus, the acceleration is 0 m/s², which implies that the resultant force acting on the car is also 0 N due to:

F=ma; where a=0 m/s2F = m \cdot a; \text{ where } a = 0 \text{ m/s}^2

So the resultant force is:

Resultant force=0 N\text{Resultant force} = 0 \text{ N}

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