The graph shows the speed of a train during the first 60 seconds of motion - OCR - GCSE Maths - Question 15 - 2019 - Paper 4
Question 15
The graph shows the speed of a train during the first 60 seconds of motion.
(a) What is the speed of the train after 9 seconds?
Worked Solution & Example Answer:The graph shows the speed of a train during the first 60 seconds of motion - OCR - GCSE Maths - Question 15 - 2019 - Paper 4
Step 1
What is the speed of the train after 9 seconds?
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To determine the speed of the train after 9 seconds, we refer to the speed-time graph provided. From the graph:
At 0 seconds, the train begins to accelerate until it reaches a speed of 20 m/s at around 15 seconds.
From 15 seconds onwards, the speed remains constant at 20 m/s until the 45-second mark.
After 45 seconds, the train starts decelerating.
Since 9 seconds falls within the interval of acceleration, we can see that at 9 seconds, the train is still in the process of speeding up and has reached a speed just below 20 m/s at that point (which can be estimated or calculated based on the linear increase in speed).
Thus, the approximate speed of the train after 9 seconds is around 12 m/s.