Ant-Man could in the future to battle injustice. After discovering a chemical substance, which he called Pym Particles, that would allow the user to alter his size, he armed himself with a helmet that could control ants. After that, Pym would shrink down to the size of an insect to become the mystery-solving Ant-Man, solving crimes and stopping criminals. He soon shared his discovery with his new girlfriend Janet van Dyne, who became his crime-fighting partner the Wasp, when he helped her avenge the death of her scientist father Vernon van Dyne who was killed by an alien unleashed by one
Ant on a rubber rope a given time formula_36 is its speed relative to the rope, i.e. formula_18, plus the speed of the rope at the point where the ant is. The target-point moves with speed formula_38, so at time formula_39 it is at formula_40. Other points along the rope move with proportional speed, so at time formula_39 the point on the rope at formula_42 is moving with speed formula_43. So if we write the position of the ant at time formula_39 as formula_45, and the speed of the ant at time formula_39 as formula_47, we can write: This is a first order linear differential