00:01
All right, in this problem, we are going to find the instantaneous velocity from this position function, and the position function is given as fft equals negative 16t squared plus 5.
00:13
We're going to be using this definition over here in the box for the limit of the difference quotient.
00:20
We're going to do this for a equals 1 and a equals 2.
00:23
But instead of doing this process with a equals 1 and then doing this process with a equals 2, i'm going to leave it as a and then back substitute so that i don't have to do this entire long process twice.
00:35
So we're going to start with the limit of negative 16 times the quantity a plus h squared plus 5 minus f of a.
00:44
And we're going to leave it with an a in there.
00:46
We're going to put negative 16a squared plus 5.
00:49
And again, i'm putting it in brackets, which are just fancy parentheses because i need to distribute later...