Final answer:
The idea that a position vs time graph for an object speeding up is a straight line is false; such a graph shows a curving line. Displacement does not depend on the path taken, so different paths with the same start and end points have the same displacement. Electric-field lines from a positive point charge do indeed radiate outward, making that statement true.
Step-by-step explanation:
Understanding Kinematics and Electric Fields
Regarding the position vs time graph for an object that is speeding up, the statement is false. A graph representing an object speeding up will show a curve with increasing slope, not a straight line. A straight line indicates constant speed. Hence, the correct answer is (b) False for the question about the position vs time graph.
Concerning displacement, the statement is also false. Displacement is a vector quantity; it depends only on the initial and final positions, not on the path taken. If both persons start from the same point, the displacement will be the same for both regardless of the path taken, because they end at the same point. Hence, the correct answer is (b) False for the question about the displacement of two people.
The statement about electric-field lines from a positive point charge is true. Electric-field lines represent the path a positive test charge would take if placed in the field. For a positive point charge, lines radiate outward. Therefore, the answer is (b) True for the question about the direction of electric-field lines.