To pass a physical fitness test, massimo must run 1250 m at an average rate of 2.0 m/s. he runs the first 1150 m in 500 s. can he pass the test? if so, determine at least how fast he must run the last 100 m.

If he runs the first 1150 m in 500 s he will pass the test.

  He need to run remaining 100 m at 0.8 m/s to pass the test

Explanation:

   We know the equation of motion , where s is the displacement, u is the initial velocity, t is the time taken and a is the acceleration.

   When he runs 1150 m in 500 s, s = 1150 m, t = 500 s and a = 0 .

    Substituting

     So his speed is more than 2 m/s, so he can pass the test.

 If massimo is covering  1250 m at an average rate of 2.0 m/s, time taken by him.

So he need to cover remaining 100 m in (625-500) = 125 seconds.

 Speed required = Distance /Time = 100/125 = 0.8 m/s.

  So he need to run remaining 100 m at 0.8 m/s to pass the test.

acceleration = (change in speed) / (time for the change)

change in speed = (20-120)= -100 m/s.

1.5 min = 90 sec

acceleration = -100/90 = -1.11 m/s^2.

we don't care about the 150kg or the 2,500 meters. they don't make any difference.

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d.7.5cm is your answer