Respuesta :

Answer:

0.90m/s²

Explanation:

Given parameters:

Initial speed  = 6miles/hr

Final speed  = 12miles/hr

Time taken = 3 seconds

Unknown:

Acceleration = ?

Solution:

Acceleration is the rate of change of velocity with time. It is mathematically given as:

         Acceleration  = [tex]\frac{Final speed - Initial speed}{Time}[/tex]

We need to convert miles/hr to meters/seconds

Initial speed = 6 x [tex]\frac{miles }{hour}[/tex] x [tex]\frac{1hr}{3600s}[/tex]  x [tex]\frac{1609.34m}{1mile}[/tex]

                      = 2.68m/s

Final speed = 12 x [tex]\frac{1609.34}{3600}[/tex]  = 5.37m/s

      Acceleration  = [tex]\frac{5.37 - 2.68}{3}[/tex]   = 0.90m/s²