Answer:
[tex]a =111.1\ m/s^2[/tex]
Step-by-step explanation:
The formula to calculate the average acceleration is:
[tex]a =\frac{s_2-s_1}{t_2-t_1}[/tex]
Where s is the speed of the object and t is the time it takes the object to change its speed [tex]s_1[/tex] to the speed [tex]s_2[/tex]
In this case we have that:
[tex]t_2-t_1 = 5\ sec[/tex]
[tex]s_1 = 500\ km/h = 500*\frac{1\ h}{3600\ s}*\frac{1000\ m}{1\ km}=138.89\ m/s[/tex]
[tex]s_2= 2500\ km/h = 2500*\frac{1\ h}{3600\ s}*\frac{1000\ m}{1\ km}=694.44\ m/s[/tex]
[tex]a =\frac{694.44-138.89}{5}\ m/s^2[/tex]
[tex]a =111.1\ m/s^2[/tex]