# Question #3b237

##### 1 Answer

#### Explanation:

This problem gives us the initial velocity

Which UAM formula uses

#Deltax = ((v_i+v_f)/2)t#

This equation is perfect -- it gives us a way to plug in everything we know and only have our one variable

#Deltax = ((v_i+v_f)/2)t#

#3.6 " km" = ((5.3" m/s" + v_f)/2)(4.4 " min")#

Before we continue to solve this, you may notice a few units that are out of place. We should convert

Now that we have our converted values, we can continue to solve the equation.

#3600 " m" = ((5.3" m/s" + v_f)/2)(264 " s")#

#3600 " m" = (5.3" m/s" + v_f)(132 " s")#

#3600 " m" = 699.6 " m" + (132" s")(v_f)#

#2900.4 " m" = (132 " s")(v_f)#

#21.97 " m/s" = v_f#

This is the final velocity of the car after the 4.4 minutes. However, since the problem only gave us an accuracy of 2 significant figures, our answer should also only have 2 significant figures.

#v_f = 22 " m/s"#

*Final Answer*