CBSE Class 9 Science Question 20 of 30

Motion — Question 2

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Question

Question 2

A bus decreases its speed from 80 kmh-1 to 60 kmh-1 in 5 s. Find the acceleration of the bus.

Answer

Given,

Initial velocity (u) = 80 kmh-1

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

80 x 518\dfrac{5}{18} = 22.22 ms-1

The final velocity (v) = 60 kmh-1

60 x 518\dfrac{5}{18} = 16.66 ms-1

Time (t) = 5 sec

According to the first equation of motion,

v = u + at

or

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

Substituting we get,

a = 16.6622.225\dfrac{16.66 - 22.22}{5} = -1.112 ms-2

the acceleration of the bus is -1.112 ms-2.

The negative sign indicates that the velocity of the bus is decreasing.