The position-time graphs for two students A and B returning from the school to their homes are shown in figure :
(A) A lives closer to the school (B) B lives closer to the school (C) A takes lesser time to reach home (D) A travels faster than B (E) B travels faster than A
Choose the correct answer from the options given below:
(A)(A) and (E) only✓ Correct
(B)(B) and (E) only
(C)(A), (C) and (E) only
(D)(A), (C) and (D) only
Answer: (A)
Solution
On a position-time graph the final height of each line is that student's distance from school, and the slope is the speed. Line A ends at a smaller value of x, so A lives closer to the school. Line B is steeper, so B moves with the greater speed. Line A runs to a larger time before reaching home, so A actually takes more time, not less. The correct statements are that A lives closer to the school and that B travels faster.
JEE Main · 2023 · 10 Apr 2023 · Shift 1 · Single correct option
