CBSE Class 9 Science Question 21 of 30

Motion — Question 3

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Question

Question 3

A train starting from a railway station and moving with uniform acceleration attains a speed 40 kmh-1 in 10 minutes. Find its acceleration.

Answer

Given.

Initial velocity (u) = 0

Final velocity (v) = 40 kmh-1

Convert kmh-1 to ms-1 : multiply by 518\dfrac{5}{18}

40 x 518\dfrac{5}{18} = 11.11 ms-1

Time (t) = 10 minute

Convert min into s

1 min = 60 s

10 min = 60 x 10 = 600 s

Acceleration (a) =?

According to the first equation of motion,

v = u + at

or

a = v - ut\dfrac{\text {v - u}}{\text{t}}

Substituting we get,

a = 11.110600\dfrac{11.11-0}{600} = 0.0185 ms-2

the acceleration of the bus is 0.0185 ms-2.