a motorcycle was traveling at a speed of 32 m/s. it took the motorcycle a distance of 75 m to stop. what was the motorcycles rate of deceleration.?

Respuesta :

Answer:

 Deceleration value of motorcycle =  [tex]6.83 m/s^2[/tex]

Explanation:  

  We have equation of motion, [tex]v^2=u^2+2as[/tex], where u is the initial velocity, v is the final velocity, s is the displacement and a is the acceleration.  

  In this case we have final velocity = 0 m/s, initial velocity = 32 m/s, and displacement = 75 m, now we need to find deceleration value.  

  Substituting

          [tex]0^2 = 32^2+2*a*75\\ \\ a = -6.83 m/s^2[/tex]

So, Acceleration value of motorcycle =  [tex]-6.83 m/s^2[/tex]

    Deceleration value of motorcycle =  [tex]6.83 m/s^2[/tex]