A cyclist decelerates from 4.6m/s to a stop in .29 minutes. What is the negative acceleration for the cyclist?

Respuesta :

Answer:

a = 0.264 [m/s^2]

Explanation:

We can find the deceleration value using the following formula of kinematics:

[tex]v_{f} =v_{o} - (a*t)[/tex]

The final speed is taken as zero as the rider stops completely and the acceleration sign in the equation is taken as negative as the rider is slowing down.

Vf = final velocity = 0

Vo = initial velocity = 4.6 [m/s]

t = time = 0.29 [min] = 0.29*60 = 17.4 [s]

0 = 4.6 - (a*17.4)

-4.6 = - 17.4*a

a = 0.264 [m/s^2]