A tractor of mass 2400 kg is travelling at 12 m/s when its driver sees a closed gate 27 m ahead. Once the brakes are applied, they produce a constant resultant braking force of 9600 N. What is the longest reaction time the driver can have for the tractor to stop just at the gate?
3.00 s3.00\ \mathrm{s}3.00 s
0.75 s0.75\ \mathrm{s}0.75 s
1.50 s1.50\ \mathrm{s}1.50 s
2.25 s2.25\ \mathrm{s}2.25 s