The acceleration of the bus is 1.11 meters per second square to the direction of motion
Explanation:
Acceleration is the rate of change of velocity
The formula of the acceleration is [tex]a=\frac{v_{2}-v_{1}}{t}[/tex] , where
A bus that goes from 10 km/h to a speed of 50 km/h in 10 seconds
→ [tex]v_{1}[/tex] = 10 km/h
→ [tex]v_{2}[/tex] = 50 km/h
→ t = 10 seconds
Change the unite of the time from seconds to hour
→ 1 hour = 60 × 60 = 3600 seconds
→ 10 seconds = [tex]\frac{10}{3600}=\frac{1}{360}[/tex] hour
Substitute these values in the formula of the acceleration above
→ [tex]a=\frac{50-10}{\frac{1}{360}}[/tex]
→ a = 14400 km/h²
To change the unit of acceleration to meter per second change the
kilometer to meter and the hour to seconds
→ 1 km = 1000 m
→ 1 hour = 3600 seconds
→ [tex]a=\frac{14400*1000}{(3600)^{2}}=\frac{10}{9}[/tex]
→ a = 1.11 m/sec².
The acceleration of the bus is 1.11 meters per second square to the direction of motion
Learn more:
You can learn more about the acceleration in brainly.com/question/6323625
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