# Race car velocity problem

A race car moves such that its position fits the relationship
x(t) = (4.4 m/s) t + (0.91 m/s^3) t^3 (yes cubed)
where x is measured in meters and t in seconds.Approximate the instantaneous velocity at t = 2.6 s, using a time interval of 0.2 s. Answer
in units of m/s.

i am just stuck and dont even know where to start

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ok, the velocity is
$$\frac{\Delta x} {\Delta t}$$

now the question come down to what is delta x and delta t
hope you can come out the answer

dextercioby
Homework Helper
Take the time origin $t_{0}$ to be 0.

Daniel.

but what is Xo and X?

dextercioby
Homework Helper
Kay.
$$x_{0}=x(t_{0})=x(0)$$

$$x=x(2.6)$$

Daniel.

ok i got all that, but what is still confusing me is the "time interval" what do i do with that

dextercioby said:
Kay.
$$x_{0}=x(t_{0})=x(0)$$

$$x=x(2.6)$$

Daniel.

what is the time interval for???