The graph below shows the distance-time graph for the first 30 seconds of the car’s motion. A different car accelerated from 0.12 m/s to 0.52 m/s. The acceleration of the car was 0.040 m/s2. The work done to accelerate the car was 0.48 J. Calculate the resultant force needed to accelerate the car. – 6066

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Q1

The graph below shows the distance-time graph for the first 30 seconds of the car’s motion.

(f) A different car accelerated from 0.12 m/s to 0.52 m/s. 

The acceleration of the car was 0.040 m/s2. 

The work done to accelerate the car was 0.48 J. 

Calculate the resultant force needed to accelerate the car.

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Resultant force = _______________ N (6)

  1. Zeeshan Rafiq Avatar
    Zeeshan Rafiq

    Final velocity² – Initial velocity² = 2 × acceleration × distance
    0.522−0.122=2×0.04×s
    s=0.52^2−0.12^2/2×0.04
    s=0.2704−0.0144/0.08
    s=0.256/0.08=3.2 m
    Work done = Force × Distance
    0.48=F×3.2
    F=0.48/3.2=0.15 N

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One thought on “The graph below shows the distance-time graph for the first 30 seconds of the car’s motion. A different car accelerated from 0.12 m/s to 0.52 m/s. The acceleration of the car was 0.040 m/s2. The work done to accelerate the car was 0.48 J. Calculate the resultant force needed to accelerate the car. – 6066

  1. Final velocity² – Initial velocity² = 2 × acceleration × distance
    0.522−0.122=2×0.04×s
    s=0.52^2−0.12^2/2×0.04
    s=0.2704−0.0144/0.08
    s=0.256/0.08=3.2 m
    Work done = Force × Distance
    0.48=F×3.2
    F=0.48/3.2=0.15 N

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