The battery in an electric car needs to be recharged - AQA - GCSE Physics - Question 8 - 2022 - Paper 1

The equation is:

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

Using the equation of motion:

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

Substituting the values:

$20 = \frac{28 - 0}{t}$
Solving for t gives:

$t = \frac{28}{20} = 1.4 \text{ s}$

Using the equation of motion:

$v^2 = u^2 + 2as$

Where:

• Initial velocity, $u = 0$ m/s,
• Acceleration, $a = 10$ m/s²,
• Distance, $s = 605$ m.

Substituting the values gives:

$v^2 = 0 + 2 \times 10 \times 605$
$v^2 = 12100$
v = 110 m/s

The equation is:

$W = F \times s$

First, convert 7.5 km to meters:
7.5 km = 7500 m.

Using the equation:

$W = F \times s$ Substituting the values gives:

$W = 4000 N \times 7500 m = 30000000 J$