a bus decreases its speed from 60km/hr to 30km/hr in 10 min. Find the retardation of bus
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Given :-
Initial velocity = 60 km/h
Final velocity = 30 km/h
Time taken = 10 min
To Find :-
The retardation of bus.
Analysis :-
Here, we are given with the initial velocity, final velocity and the time.
Substitute the given values using the formula of first equation of motion and solve for 'a' accordingly.
Solution :-
We know that,
- u = Initial velocity
- t = Time
- v = Final velocity
- a = Acceleration
Using the formula,
Given that,
Initial velocity = 60 km/h = 16.6 m/s
Final velocity = 30 km/h = 8.3 m/s
Time taken = 10 min = 600 sec
Substituting their values,
8.3 = 16.6 + (a) 600
a = (v-u)/t
a = (8.3-16.6)/600
a = -8.3/600
a = -0.013 m/s²
Therefore, the retardation of the bus is -0.013 m/s².
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