A bus decreases its speed from 80 kilometre per hour to 60 km per hour find a accerlation of a bus
Answers
Correct Question :-
A bus decreases its speed from 80 kilometre per hour to 60 km per hour in 1 hour a accerlation of a bus.
Given:-
- Initial velocity of bus (u) = 80km/h
- Final velocity of bus (v) = 60km/h
- Time taken by bus (t) = 1 hour
To Find:-
- Acceleration of the bus .
Solution:-
Firstly, we convert the given given information into their unit.
Initial velocity = 80km/h = 80 ×5/18 = 400/18m/s
Final velocity = 60km/h = 60×5/18 = 300/18m/s
Time = 1 hour = 1×60×60 = 3600s
Now ,by using first equation of motion
⟹ v = u+at
Put the values which is given above
⟹ 300/18 = 400/18 + a×3600
⟹ 16.66 = 22.22 + a×3600
⟹ 16.66 - 22.22 = a×3600
⟹ -5.56 = a ×3600
⟹ a = -5.56/3600
⟹ a = -0.00154 m/s²
here negative sign show retardation.
∴ The acceleration of bus is 0.00154m/s²
Additional Information !!
✧ The rate of change of velocity at per unit time is called acceleration .
✧ SI unit of acceleration is m/s²
✧ It is vector Quantity ( both magnitude and direction)
✔ Given :-
- Initial Velocity = 80km/h = 400/18 m/s.
- Final Velocity = 60km/h = 300/18 m/s.
- Time = 1 hour = 3600 seconds.
✔ To Find :-
- Acceleration of the bus.
✔ Solution :-
Use First Equation Of Motion.
v = u + at.
Put the values.
➠ 300/18 = 400/18 + 3600a.
➠ 300/18 - 400/18 = 3600a
➠ -100/18 = 3600a.
➠ a = -0.00154 m/s²