Did the object have a greater acceleration from 0s-8s or from 9s - 16s? What was the difference between the 2 accelerations?
I figured out that the acceleration for 0s - 8s is 3cm/s and that the acceleration from 9s - 16s is -3.28cm/s
but i don't know which one has the greater acceleration, (though i think it is 0s-8s) and i don't know what the difference between the 2 accelerations is.
If this is confusing just let me know and i'll try to explain it better.
I assume the acceleration from 9s - 16s is 3.28 (not -3.28). If so, then subtract 3.0 from 3.28 to find the difference.
how do I solve the Quadritic Functions?
To determine which acceleration is greater and find the difference between the two accelerations, you need to compare the magnitudes of the accelerations for the two time intervals.
Given that the acceleration from 0s to 8s is 3 cm/s and the acceleration from 9s to 16s is -3.28 cm/s, you already have the correct values.
To compare the magnitudes, ignore the negative sign and compare the absolute values. In this case, the magnitude of the acceleration from 0s to 8s is 3 cm/s, and the magnitude of the acceleration from 9s to 16s is 3.28 cm/s.
Therefore, the acceleration magnitude from 9s to 16s is greater than the acceleration magnitude from 0s to 8s.
To find the difference between the two accelerations, subtract the magnitude of the acceleration from 0s to 8s from the magnitude of the acceleration from 9s to 16s:
Difference = Magnitude of acceleration from 9s to 16s - Magnitude of acceleration from 0s to 8s
Difference = 3.28 cm/s - 3 cm/s
Difference = 0.28 cm/s
So, the difference between the two accelerations is 0.28 cm/s.