Given a figure showing raw velocities and times, convert raw velocities to actual velocities using a scale.

a) (i) Measure and record raw velocities $V_1, V_2, V_3, V_4, V_5$ in centimetres.
Based on visual estimation from Figure 4a:

• $V_1 \approx 5.0 \text{ cm}$
• $V_2 \approx 4.0 \text{ cm}$
• $V_3 \approx 3.0 \text{ cm}$
• $V_4 \approx 2.0 \text{ cm}$
• $V_5 \approx 1.0 \text{ cm}$

a) (ii) Read and record the corresponding times $t_1, t_2, t_3, t_4, t_5$ in seconds.
From Figure 4b:

• $t_1 = 1 \text{ s}$
• $t_2 = 2 \text{ s}$
• $t_3 = 3 \text{ s}$
• $t_4 = 4 \text{ s}$
• $t_5 = 5 \text{ s}$

a) (iii) Convert the raw velocities recorded in (i) into actual velocities $U_1, U_2, U_3, U_4, U_5$ using the scale: 1 cm = 2 m/s.
The conversion formula is $U = V \times 2 \text{ m/s/cm}$.

• $U_1 = 5.0 \text{ cm} \times 2 \text{ m/s/cm} = 10.0 \text{ m/s}$
• $U_2 = 4.0 \text{ cm} \times 2 \text{ m/s/cm} = 8.0 \text{ m/s}$
• $U_3 = 3.0 \text{ cm} \times 2 \text{ m/s/cm} = 6.0 \text{ m/s}$
• $U_4 = 2.0 \text{ cm} \times 2 \text{ m/s/cm} = 4.0 \text{ m/s}$
• $U_5 = 1.0 \text{ cm} \times 2 \text{ m/s/cm} = 2.0 \text{ m/s}$