Question 1.3: On the London underground, Oxford Circus and Piccadilly Circ...
On the London underground, Oxford Circus and Piccadilly Circus are 0.8 km apart. A train accelerates uniformly to a maximum speed when leaving Oxford Circus and maintains this speed for 90 s before decelerating uniformly to stop at Piccadilly Circus.
The whole journey takes 2 minutes. Find the maximum speed.
The blue check mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.
Learn more on how we answer questions.
The sketch of the speed–time graph of the journey shows the given information, with suitable units.
The maximum speed is v ms^{-1}.
The area is \frac{1}{2} (120 + 90) × v = 800
v = \frac{800}{105}
= 7.619
The maximum speed of the train is 7.6 ms^{-1}.

Related Answered Questions
Question: 1.8
Verified Answer:
i) In this example it is very important to draw a ...
Question: 1.4
Verified Answer:
i) The diagram shows the information for the first...
Question: 1.12
Verified Answer:
The information given may be summarised as follows...
Question: 1.7
Verified Answer:
i) The diagram shows all the information assuming ...
Question: 1.11
Verified Answer:
The car is stationary when v = 0. Substituting thi...
Question: 1.10
Verified Answer:
i) The displacement at any time is s = \int...
Question: 1.9
Verified Answer:
i) Position x = 2t³ - 6t ...
Question: 1.2
Verified Answer:
i) David’s journey is illustrated below. (Figure 1...
Question: 1.6
Verified Answer:
Suppose the time taken to reach the ground is t se...
Question: 1.5
Verified Answer:
Let the distance travelled be s miles. You want s ...