A train is starting from a railway station and moving with uniform acceleration attains the speed of 20m/s in 10 sec . Find the acceleration.
Answers
Answer:
Initial speed, u = 00 m/s
Final Speed, v = 20 m/s
Time, t = 10 s
By 1st equation of motion,
v = u + at
20 = 0 + a ( 10 )
a = 20/10
a = 2 m/s^2
The acceleration of the train is 2 m/s².
Given: A train starting from a railway station and moving with uniform acceleration attains the speed of 20 m/s in 10 sec.
To Find: The acceleration of the train.
Solution:
- It is said that the train starts from a railway station, so we can say that the train was at rest initially. So, the initial velocity of the train is zero.
- We can solve the numerical by using the formula of motion,
v = u + at ...(1)
Where v = final velocity, u = initial velocity, a = acceleration, t = time.
Coming to the numerical, we are given;
v = 20 m/s, u = 0, t = 10 s
Putting respective values in (1), we get;
v = u + at
⇒ 20 = 0 + a × 10
⇒ a = 20/10
= 2 m/s²
Hence, the acceleration of the train is 2 m/s².
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