The world long jump record is 8.95 m (Mike Powell, USA, 1991). Treated as a projectile, what is the maximum range (in m) obtainable by a person if he has a take-off speed of 8.7 m/s?
m
State your assumptions.

Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?