Is it supposed to be:
Now can you do it for 2 seconds and 3 seconds?
The easier way would be to straight differentiate it to get the rate of change.
A soccor ball is kicked into the air. The polynomial function f(t) = -4.9^2 +16t + 1, where the f(t) represents the height in metres at t seconds models this scenario.
Determine the instantaneous rate of change of height at 1 second, 2 seconds and 3 seconds.
Im thinking I use this:
f ' (1) = lim_____ f(1 + h) - f(1)
______ h→0______h
and so forth for 2 seconds, and 3 seconds..
But I got 87.71 m/s for 1 second - doesn't seem right?
Help lol thanks in advance