# A block is moving along the xx2t2 where xt (a)Determine its position (in m) at t m (b)

-axis and its position varies in time according to the expression = (3.00 m/s^{})^{},

is in meters and is in seconds.

= 2.80 s.

Determine its position (in m) at *t* = (2.80 s) + Δ*t*.

(Use the following as necessary: Δ*t*. Do not include units in your answer.)

*x*_{f} = $$

23.68

An expression for the position as a function of time has been given. To obtain the position at the time specified, enter the given time into the expression and perform any needed mathematical operations. m

(c)

Evaluate the limit of Δ*x*

Δ*t* as Δ*t* approaches zero to find the velocity (in m/s) at *t* = 2.80 s.

Note that three operations are required. First determine Δ*x*, second divide by Δ*t*, and third in the resulting expression let Δ*t* → 0. Your answer should be a constant independent of time. m/s

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