2 49. A bus decreases its speed from 80 kmph, to 60kmph, in 5s. Find the acceleration of the bus a) a = -2.11 ms
b) a = +2.11 ms2 c) a = -1.11 ms d) a = + 1.11 ms
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A bus decreases its speed from 80kmh−1 to 60kmh−1 in 5s. Find the acceleration of the bus.
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Complete step by step solution:
Initial speed of the bus is given as,vi=80kmh−1
Let us convert the velocity inms−1.
Therefore, v1=80×518=22.22ms−1
The final speed of the bus is given as,vf=60kmh−1
Let us also convert it inms−1.
Therefore, vf=60×518=16.66ms−1
The time taken to change the speed is given as,t=5s
Already we know that acceleration is given by,
a=vf−vi/t
⇒a=16.66−22.225
∴a=−1.112ms−2
Therefore, the required value of acceleration is −1.112ms−2.
Hence, the bus is retarding with an acceleration of −1.112ms−2.
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