Answer:
COLUMN A
Explanation:
The distance versus time plot for a particular object shows a quadratic relationship. Which column of distance data is possible for this situation? Time (s) A. Distance (m) B. Distance (m) C. Distance (m) D. Distance (m) E. Distance (m) 0 0 2.00 9.00 ‡ ‡ 1 1.00 4.00 18.00 1.00 1.00 2 4.00 6.00 27.00 0.50 0.25 3 9.00 8.00 36.00 0.33 0.11 4 16.00 10.00 45.00 0.25 0.06 5 25.00 12.00 54.00 0.20 0.04 6 36.00 14.00 63.00
A quadratic relation mean one variable is proportional to the square of the other variable.
for this problem, distance and time will be proportional to the following equation
d = kt²
or
t = kd²
where k is a (constant).
when y look at column A closely . The numbers are all perfect squares: 1, 4, 9, 16...
This means d = kt² with k=1:
at t = 0, d = 1 x 0² = 0
at t = 1, d = 1 x 1² = 1
at t = 2, d = 1 x 2² = 4
at t = 3, d = 1 x 3² = 9
