In order to pass a physical education class at a university, a student must run 1.0 mi in 11.5 min. After running for 10.0 min (assume constant speed), she still has 660 yd to go. What constant acceleration does she need over the final 660 yd in order to make it? (Note: 1 yard is equal to 0.9144 meters.)  m/s2

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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In order to pass a physical education class at a university, a student must run 1.0 mi in 11.5 min. After running for 10.0 min (assume constant speed), she still has 660 yd to go. What constant acceleration does she need over the final 660 yd in order to make it? (Note: 1 yard is equal to 0.9144 meters.)


 m/s2

Expert Solution
Step 1: To calculate initial velocity

To calculate initial velocity which is maintained for 10 min-

u=s÷where (u is initial velocity, s is distance and t is time)

Firstly let us make each unit in meters and seconds-

1.0 mi=1609.344m

660 yards= 603.504 m

10min=600 sec

now,

u=change in distance ÷time

u= (1609.344-603.504)÷600=1.68 m/s

 

 

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