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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 look at the graph. At 0 s, the velocity is 0 m/s, and at 5 s, the velocity is 8 m/s. The change in velocity can be calculated using the formula:

Change in velocity=Final velocityInitial velocity\text{Change in velocity} = \text{Final velocity} - \text{Initial velocity}

Thus, Change in velocity=8 m/s0 m/s=8 m/s.\text{Change in 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:

Acceleration=Change in velocityTime\text{Acceleration} = \frac{\text{Change in velocity}}{\text{Time}}

From part (i), the change in velocity is 8 m/s, and the time interval is 5 s:

Acceleration=8 m/s5 s=1.6 m/s2.\text{Acceleration} = \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

Between 10 s and 15 s, the velocity of the car is constant at 8 m/s. Since there is no change in velocity during this time, the acceleration is zero. Using Newton's second law:

F=maF = ma

Where:

  • F is the resultant force,
  • m is the mass of the car (1200 kg),
  • a is the acceleration (0 m/s²).

Thus, we have:

F=1200 kg×0 m/s2=0 N.F = 1200 \text{ kg} \times 0 \text{ m/s}^2 = 0 \text{ N}.

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