6 (a) Which of these would be a typical speed for a racing cyclist travelling down a steep straight slope? A 0.2 m/s B 2 m/s C 20 m/s D 200 m/s (iii) A cyclist travels down a slope - Edexcel - GCSE Physics - Question 6 - 2019 - Paper 1

The formula for gravitational potential energy (GPE) is: $\Delta GPE = m \cdot g \cdot h$ Where:

• $m$ is the mass (75 kg)
• $g$ is the gravitational field strength (10 N/kg)
• $h$ is the height change (20 m)

Substituting the values: $\Delta GPE = 75 \cdot 10 \cdot 20$

Calculating this gives: $\Delta GPE = 15000 \text{ J}$

Thus, the change in gravitational potential energy is 15000 J.

Given the initial speed $u = 0$ m/s, final speed $v = 80$ m/s, and acceleration $a = 4$ m/s², we can use the equation: $x = \frac{v^{2} - u^{2}}{2a}$

Substituting in the values: $x = \frac{80^{2} - 0^{2}}{2 \cdot 4}$ $x = \frac{6400}{8}$ $x = 800 ext{ m}$

Thus, the distance travelled by the aircraft is 800 m.