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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 determine the change in velocity during the first 5 seconds, we refer to the velocity-time graph. At 0 seconds, the velocity is 0 m/s, and at 5 seconds, it increases to 8 m/s. Thus, the change in velocity is 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 can be calculated using the formula:

a=Change in velocityTimea = \frac{\text{Change in velocity}}{\text{Time}}

Substituting the values we calculated:

a=8 m/s5 s=1.6 m/s2a = \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

During the time interval between 10 s and 15 s, the graph indicates that the car travels at a constant velocity of 8 m/s. With no change in velocity, the acceleration is 0 m/s². Therefore, using Newton's Second Law:

F=m×aF = m \times a

If we assume the mass of the car is 1200 kg:

F=1200 kg×0=0 NF = 1200 \text{ kg} \times 0 = 0 \text{ N}

Thus, the size of the resultant force is 0 N.

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