Which of these is a vector? A energy B force C mass D work State the equation that relates acceleration to change in velocity and time taken - Edexcel - GCSE Physics Combined Science - Question 2 - 2020 - Paper 1

The equation that relates acceleration (a) to the change in velocity (Δv) and time taken (t) is given by:

$a = \frac{\Delta v}{t}$

Where:

• $\Delta v = v_f - v_i$ (final velocity minus initial velocity)

The initial velocity (v_i) is 2 m/s and the final velocity (v_f) is 20 m/s, with a time (t) of 12 seconds. First, calculate the change in velocity:

$\Delta v = v_f - v_i = 20 \text{ m/s} - 2 \text{ m/s} = 18 \text{ m/s}$

Now, use the equation for acceleration:

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

Thus, the acceleration of the van is:

$a = 1.5 \text{ m/s}^2$