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1.a runner accelerates from a velocity of miles 1 hour east until reaching a velocity of 10 miles 1 hour east in 20 seconds.what is the runner's acceleration in m\s*squared

 Feb 17, 2015
 #1
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Initial Velocity = 1 mile / hour = 0.447 meters / second

Final Velocity = 10 miles / hour = 4.47 meters / second

Time = 20 seconds

 

Acceleration = (Final Velocity - Initial Velocity) / Time

 = (10 meters / second - 1 meter / second) / 20 seconds

 = 9 meters / second / 20 seconds

 = 0.45 meters / second^2

 

Answer: The runner's acceleration is 0.45 m/s^2 in the direction of east.

 Feb 17, 2015
 #2
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Whoops, I plugged in the wrong numbers.

 

Initial Velocity = 1 mile / hour = 0.447 meters / second

Final Velocity = 10 miles / hour = 4.47 meters / second

Time = 20 seconds

 

Acceleration = (Final Velocity - Initial Velocity) / Time

 = (4.47 meters / second - 0.447 meter / second) / 20 seconds

 = 4.023 meters / second / 20 seconds

 = 0.20115 meters / second^2

 

Answer: The runner's acceleration is 0.20115 m/s^2 in the direction of east.

 Feb 17, 2015

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