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5 (a) 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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5 (a) 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) Calcula... show full transcript

Worked Solution & Example Answer:5 (a) 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

The change in velocity can be determined from the graph. At 0 seconds, the velocity is 0 m/s. At 5 seconds, the velocity is 8 m/s. Therefore, the change in velocity (Δv) is calculated as:

Δv=vfinalvinitial=8extm/s0extm/s=8extm/sΔv = v_{final} - v_{initial} = 8 ext{ m/s} - 0 ext{ m/s} = 8 ext{ m/s}

Step 2

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

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Answer

Acceleration (a) is calculated using the formula:

a = rac{change ext{ } in ext{ } velocity}{time} = rac{Δv}{Δt}

Given that the change in velocity (Δv) is 8 m/s and the time interval (Δt) is 5 s:

a = rac{8 ext{ m/s}}{5 ext{ s}} = 1.6 ext{ 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 remains constant at 8 m/s, indicating that the acceleration is 0 m/s². Using Newton's second law:

F=mimesa,F = m imes a,

where m is the mass of the car (assumed here as 1200 kg). Therefore, the resultant force (F) is:

F = 1200 ext{ kg} imes 0 ext{ m/s}^2 = 0 ext{ N}$$

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