t(sec) 1 1.5 2 2.5

v(ft/sec) 12.2 1.3 13.4 13.7

velocity of an object moving along a line at various times.
How do I estimate the object's acceleration(in ft/sec^2) at t=1

TIA

t(sec) 1, 1.5, 2, 2.5
v(ft/sec) 12.2 ,1.3 ,13.4 ,13.7

The second velocity of 1.3ft/sec is an error, it has to be 13.?

Look at the last data: delta T= .5 sec
deltaV= .3ft/sec

acceleration estimate: deltaV/DeltaT

You can do more of these, then average.

Overall, delta T=1.5 sec delta V 1.5

Now at t=1. Using your data, which I find the V at 1.5 sec to be in error...

delta t=.5 delta V= -10.9 But I suspec the V is wrong data.