At highway speeds, a particular automobile is capable of an acceleration of about 1.6 m/s. At this rate, how long does it take to accelerate from 36 m/s to 50 m/s? (8.8 s)
Proof please

8.8s

Explanation:

Given parameters:

Acceleration  = 1.6m/s²

Initial velocity  = 36m/s

Final velocity  = 50m/s

Unknown:

Time taken for the acceleration  = ?

Solution:

Acceleration is the rate of change of velocity with time;

      Acceleration  =  

Insert the parameters and solve for time taken;

   1.6  =  

    1.6t  = 14

         t  = 8.8s

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