Sassbot and Block Ness Monster play roller derby for theReservoir Dolls, a roller derby team in Madison, Wisconsin. In aparticular bout against the Unholy Rollers, another Madison team,Sassbot is playing the position of jammer: she must pass members ofthe Unholy Rollers in order to score points. Block Ness Monster isplaying as a blocker: she must help Sassbot while also stopping theUnholy Rollers’ jammer. During a crucial moment in the bout,Monster sees that Sass, a few feet in front of her, is about to gethit by Skullz B. Kraken, a member of the Unholy Rollers. Monsterreaches Sass quickly and pushes her forward, attempting to giveSass a boost of speed so she is out of the Skullz’s reach. Monsterpushes Sass straight forward, delivering the push at Sass’s centerof mass, her lower back, so that Sass does not experience anyrotation due to the push. Neither Monster nor Sass are using theirwheels to brake immediately before, during, or after the push, sothe outside forces on them are negligible. Monster’s mass is 82 kg.Sass’s mass is 55 kg. Monster’s speed before the push is 2 m·s−1,and Sass’s speed before the push is 0.75 m·s−1. Monster and Sasshave found, in previous practice, that the average coefficient ofrestitution of this sort of push between them is 0.8. Thecoefficient of restitution is defined as the ratio of thedifference in two objects’ velocities after the collision to thatof the difference in the objects’ velocities before the collision.e = v2,f − v1,fv2,i − v1,i At the moment Monster finishes her push,Skullz is 0.75 m to the left and 1.1 m in front of Sass. Skullz ismoving laterally (to the right) at a speed of 2.15 m·s−1 in herattempt to hit Sass. Sass is moving directly forward afterMonster’s push. Will Sass get hit by Skullz or will she get pasther in time?
How long will it take Sass to travel forward past Skullz’sposition?