We are told the car is going 25 mi/h and we are told the change in time is 1.5 seconds. We have to change units so that the time is in seconds, or hour. I will be doing this problem in seconds.
Converting mi/hr to mi/sec, we have to use dimensional analysis. Since there are 3600 seconds in an hour, we divide 25 by 3600. This will give us mi/sec
[tex] \frac{25mi}{1hr}* \frac{1hr}{3600sec} = 0.006944\frac{mi}{sec} [/tex]
Now that all our units match, we can just multiply by 1.5 seconds.
[tex]0.006944 \frac{mi}{sec} *1.5sec=0.010416667mi[/tex]
0.01041667mi
