A 1991 study found that the peak vertical force on a trotting Shetland pony increases linearly with the pony's speed, and that when the force reached a critical level, the pony switched from a trot to a gallop . FOr one the pony, the critical force was 1.16 times its body weight. It experienced a force of 0.75 times its body weight at a speed of 2 meters per second, and a force of .93 times its body weight at 3 times per second. At what speed did the pony gallop.

Question

A 1991 study found that the peak vertical force on a trotting Shetland pony increases linearly with the pony's speed, and that when the force reached a critical level, the pony switched from a  trot to a gallop . FOr one the pony, the critical force was 1.16 times its body weight. It experienced a force of 0.75 times its body weight at a speed of 2 meters per second, and a force of .93 times its body weight at 3 times per second. At what speed did the pony gallop.