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## Homework Statement

v

_{x}(t)=a-bt^2

a=4.0 m/s

b=2.0 m/s^2

At t=0 the object is at x=0

a)Calculate objects position as a function of time

b)Calculate objects acceleration as a function of time

c)What is objects maximium positive displacement from the origin

## Homework Equations

v

_{x}(t)=a-bt^2

## The Attempt at a Solution

a)X

_{f}=x

_{1}+ V

_{1}t + 1/2at^2

X

_{f}=0 + 4(0)+1/2(9.8)(0)^2

c)V

_{2}^2= V

_{1}^2 + 2aD

-V

_{1}^2/2a)=D

-16/-4=4

I'm particularly stumped on question a & b because I'm not quite sure what ithe question is asking and I'm not entirly confident that C is correct. Any help is appreciated.