Question

If a car is traveling 100 km/h west and comes to a stop in 3 min, what is the car's acceleration? Need procedure.

Answer 1

a = 0.154 [m/s^2]

Step-by-step explanation:

To solve this problem we must use the following formula of kinematics.

`v_(f)= v_(i)-(a*t)\\`

where:

Vf = final velocity = 0

Vi = initial velocity = 100 [km/h]

t = time = 3 [min] = 180 [s]

Now we need to convert the velocity from [km/h] to [m/s]

`100[(km)/(h) ]*1000[(m)/(1km) ]*1[(h)/(3600s) ]=27.77[(m)/(s) ]`

0 = 27.77 - (a*180)

a = 0.154 [m/s^2]

Note: the negative sign of the equation shows, that the car slows down until it stops