The speed limit in a school zone is 40\ \mathrm{km/h}40 km/h (about 25\ \mathrm{mi/h}25 mi/h). A driver traveling at this speed sees a child run onto the road 13\ \mathrm{m}13 m ahead of his car. He applies the brakes, and the car decelerates at a uniform rate of 8.0\ \mathrm{m/ s^2}8.0 m/s 2 . If the driver 's reaction time is 0.25\ \mathrm{s}0.25 s, Assuming a reaction time of 0.50\ \mathrm{s}0.50 s for the driver ,will the car stop before hitting the child?