Question

A car moves along a curving road at constant speed. Which of the following graphs correctly show(s) the movement of the car in the X direction with respect to time?

• A.
• B.
• C.
• D.

Answer 1

The Correct Option is C

The question involves the motion of a car along a curving road at constant speed. We need to determine which graph correctly depicts the car's movement in the X direction over time.

When analyzing the car's movement in different directions at constant speed, it's essential to remember that the displacement in any direction should be linear and continuous if there is no change in velocity or direction. Here, the car has constant speed along a curving path. However, the movement in the X direction depends on the path's curvature and the speed in the X direction.

Explanation: Since the speed is constant and the road is curving, the car's acceleration or deceleration in the X direction is zero—this implies uniform motion if the path in the X direction remains consistent.

• If the path includes consistent changes in both X and Y direction, the X component should display uniform linear motion.
• However, given a curving path, the X displacement might vary, but it should display a linear increase consistent with time for constant horizontal velocity.

Given this analysis, the correct answer is the graph showing a steady increase in displacement over time without fluctuations in slope as speed is constant.