The distance-time graph shows the first two stages of a car journey from home to a holiday house.
- At what speed, in kilometres per hour, did the car travel during stage A of the journey? (1 mark)
--- 1 WORK AREA LINES (style=lined) ---
- For how long did the car stop during stage B of the journey? (1 mark)
--- 1 WORK AREA LINES (style=lined) ---
- After stage B, the car continues to travel towards the holiday house at a constant speed of 50 km/h for 2 hours. Graph this part of the journey on the grid above. (2 marks)
--- 0 WORK AREA LINES (style=lined) ---
Show Answers Only
a. \(100\text{ km/h}\)
b. \(30\text{ minutes}\)
c.
Show Worked Solution
a. \(S=\dfrac{D}{T}\)
\(S=\dfrac{150}{1.5}=100\text{ km/h}\)
b. \(\text{Stage}\ B=1.5\rightarrow 2\text{ hours}=30\text{ minutes}\)
c. \(\text{Position at time 4 hours at 50km/h}=150+2\times 50 = 250\ \text{km} \)