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Which of these is a vector? A energy B force C mass D work (b) State the equation that relates acceleration to change in velocity and time taken - Edexcel - GCSE Physics - Question 3 - 2020 - Paper 1

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Which of these is a vector? A energy B force C mass D work (b) State the equation that relates acceleration to change in velocity and time taken. (iii) A van ... show full transcript

Worked Solution & Example Answer:Which of these is a vector? A energy B force C mass D work (b) State the equation that relates acceleration to change in velocity and time taken - Edexcel - GCSE Physics - Question 3 - 2020 - Paper 1

Step 1

Which of these is a vector?

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Answer

The correct answer is B. force. A vector quantity has both magnitude and direction, while energy, mass, and work are scalar quantities.

Step 2

State the equation that relates acceleration to change in velocity and time taken.

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Answer

The equation for acceleration (aa) is given by:

a=Δvta = \frac{\Delta v}{t}

where (\Delta v) is the change in velocity and (t) is the time taken.

Step 3

Calculate the acceleration of the van.

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Answer

To find the acceleration of the van, we first calculate (\Delta v):

  1. Initial velocity (u) = 2 m/s
  2. Final velocity (v) = 20 m/s
  3. Time (t) = 12 s

The change in velocity is:

Δv=vu=20 m/s2 m/s=18 m/s\Delta v = v - u = 20 \text{ m/s} - 2 \text{ m/s} = 18 \text{ m/s}

Now, substituting into the acceleration formula:

a=Δvt=18 m/s12 s=1.5 m/s2a = \frac{\Delta v}{t} = \frac{18 \text{ m/s}}{12 \text{ s}} = 1.5 \text{ m/s}^2

Thus, the acceleration of the van is 1.5 m/s².

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