A-Level AQA Physics Equations of Motion: Two cars P and Q leave from the

Two cars P and Q leave from the same point and travel in the same direction - AQA - A-Level Physics - Question 13 - 2019 - Paper 1

Question 13

Two cars P and Q leave from the same point and travel in the same direction. Q leaves at time t = 0 and P leaves one second later. The figure shows the velocity-time... show full transcript

Worked Solution & Example Answer:Two cars P and Q leave from the same point and travel in the same direction - AQA - A-Level Physics - Question 13 - 2019 - Paper 1

Step 1

Determine the time for each car

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Answer

Car Q leaves at t = 0 s and travels for 8 seconds by t = 8 s. Car P leaves at t = 1 s; therefore, it travels for 7 seconds by t = 8 s.

Step 2

Calculate the velocity of both cars at t = 8 s

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Answer

From the velocity-time graph, at t = 8 s, car Q has a velocity of 40 m/s. Car P has a velocity of 20 m/s at t = 8 s.

Step 3

Calculate the distance traveled by each car

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Answer

The distance traveled by Q can be calculated using the equation:

$ext{Distance} = ext{Velocity} imes ext{Time}$

For Q:

$ext{Distance}_Q = 40 ext{ m/s} imes 8 ext{ s} = 320 ext{ m}$

For P (traveling for 7 seconds):

$ext{Distance}_P = 20 ext{ m/s} imes 7 ext{ s} = 140 ext{ m}$

Step 4

Determine the distance between Q and P

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Answer

The distance between Q and P when t = 8 s is given by:

$ext{Distance}_{Q-P} = ext{Distance}_Q - ext{Distance}_P$

$ext{Distance}_{Q-P} = 320 ext{ m} - 140 ext{ m} = 180 ext{ m}$

Two cars P and Q leave from the same point and travel in the same direction - AQA - A-Level Physics - Question 13 - 2019 - Paper 1

Worked Solution & Example Answer:Two cars P and Q leave from the same point and travel in the same direction - AQA - A-Level Physics - Question 13 - 2019 - Paper 1

Determine the time for each car

Calculate the velocity of both cars at t = 8 s

Calculate the distance traveled by each car

Determine the distance between Q and P

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