A difficult differential problem to solve.

[imam07]

i have been assigned a series of Q from my physics class and i find this Q hard to solve. give me a clue how to approach. help would be better appreciated.

show for short time y= yo -(t+(e^-bt)-1)(g/b^2) reduces to * y=y0 -1/2 gt^2

* find velocity and acceleration as a function of time.

 

[HallsofIvy]

Approximate the function by its second degree MacLaurin polynomial.