Question

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 0.16 0.02
A) column A
B) column B
C) column C
D) column D
E) column E ????

Answer 1

The correct choice is (C)

Answer 2

Answer:

A). Column A

Explanation:

If distance vs time relation is a quadratic relation then it must be a relation that will follow the relation of time and distance with quadratic equation

So here we can say it must be like

$x = k t^2$

here we know that time is linearly given so we have

$x = k 1^2$

$x = k 2^2$

..............................

and so on

so here correct relation must be

$x = 1$

$x = 2^2 = 4$

$x = 3^2 = 9$

$x = 4^2 = 16$

so correct answer will be

A). Column A