A train accelerates from a standstill at a constant rate of 0.5 metres per second per second.Question 1What distance will it have covered in 1 minute? The formula for the distance d metres covered in t seconds is d = ½ a t² where a is the acceleration in metres per second per second.90 metres900 metres1800 metres3,600 metres
Question
A train accelerates from a standstill at a constant rate of 0.5 metres per second per second.Question 1What distance will it have covered in 1 minute? The formula for the distance d metres covered in t seconds is d = ½ a t² where a is the acceleration in metres per second per second.90 metres900 metres1800 metres3,600 metres
Solution
To solve this problem, we need to use the formula for distance covered under constant acceleration, which is d = ½ a t².
Here, a is the acceleration and t is the time. The problem provides us with a = 0.5 m/s² and t = 1 minute. However, we need to convert the time from minutes to seconds because the acceleration is given in metres per second per second.
1 minute = 60 seconds
Now we can substitute a and t into the formula:
d = ½ * 0.5 m/s² * (60 s)² d = 0.25 m/s² * 3600 s² d = 900 metres
So, the train will have covered 900 metres in 1 minute.
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