a sprinter increases the speed from 0 meters per second to 9 meters per second in 2 seconds. what is the acceleration

Respuesta :

Answer:

The acceleration is

[tex]4.5 {ms}^{ - 2} [/tex]

Step-by-step explanation:

Use the equation of motion,

[tex]v = u + at[/tex]

where u=0m/s is the initial speed, v=9m/s is the final speed and t=2 seconds is the time.

We substitute the values into the equation and solve for the acceleration, a

[tex]9 = 0 + a(2)[/tex]

This means that;

[tex]9 = 2a[/tex]

Divide both sides by 2 to get:

[tex]a = \frac{9}{2} [/tex]

[tex]a = 4.5 {ms}^{ - 2} [/tex]