Acceleration: A driver is traveling eastward on
adirt road when she spots a pothole ahead. She slows her car from
14m/s to 5.5 m/s in 6.0s. What is the car's acceleration?

Respuesta :

Answer:

[tex] -1.42 m/s^2[/tex] is the car's acceleration.

Explanation:

Initial velocity of the driver = u = 14 m/s

Final velocity of the driver = v = 5.5 m/s

Duration of time in which 14 m/s velocity is changed to 5.5 m/s = t = 6.0 s

Acceleration of the driver = a

Using first equation of motion: v = u + at

[tex]5.5 m/s=14 m/s+a\times (6.0 s)[/tex]

[tex]5.5 m/s-14m/s =a\times 6.0 s[/tex]

[tex]-8.5 m/s=a\times 6.0 s[/tex]

[tex]a=\frac{-8.5 m/s}{6.0 s}=-1.417 m/s^2\approx -1.42 m/s^2[/tex]

Negative sign indicates the that is deceleration is occurring that is speed of the car is decreasing.