Compute the average velocity over time intervals [4, 4.01] , [4, 4.001] , [4, 4.0001] , [3.9999, 4] , [3.999, 4] , [3.99, 4] .

Use this to estimate the object's instantaneous velocity at t=4

V(4) = ???? ft/ec

How do i even approach this problem?

You need to tell us what the position is at those times. Were you given a formula for that?

No. I have no idea how to do this. I did part a and part be right but i cant do this part c

To approach this problem, you need to calculate the average velocity over each given time interval and then use these values to estimate the object's instantaneous velocity at t=4.

Average velocity is defined as the change in position divided by the change in time. Mathematically, it can be expressed as:

Average velocity = (change in position) / (change in time)

To calculate the change in position, you need the positions at the end and the beginning of each time interval.

Let's say the position at the start of each interval is denoted by x1 and the position at the end of each interval is denoted by x2. Then the change in position can be calculated as:

Change in position = x2 - x1

Similarly, the change in time for each interval can be calculated using the given time interval values.

Once you calculate the average velocity for each interval, you can use these values to estimate the object's instantaneous velocity at t=4. The instantaneous velocity at a specific time can be approximated using the average velocities of smaller time intervals around that specific time. As the time intervals get smaller, the average velocity values should converge toward the instantaneous velocity.

In this case, given the time intervals [4, 4.01], [4, 4.001], [4, 4.0001], [3.9999, 4], [3.999, 4], [3.99, 4], you can calculate the average velocity for each interval using the formulas described above. Then you can take the average of these average velocities to estimate the object's instantaneous velocity at t=4.