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

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

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

where (\Delta v = v_f - v_i) (final velocity minus initial velocity) and (\Delta t) is the time interval.

To find the acceleration, we can use the equation mentioned above.

1. The initial velocity (v_i) = 2 m/s
2. The final velocity (v_f) = 20 m/s
3. The time taken (Δt) = 12 s

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, substitute the values into the acceleration equation:

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

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