To solve this problem, we need to understand the definitions of displacement and distance covered in the context of motion with constant acceleration.
- Displacement: Displacement refers to the change in position of an object. It is a vector quantity and is measured in units of length (meters, kilometers, etc.). Displacement takes into account both the magnitude (distance) and direction of the change in position.
- Distance Covered: Distance covered refers to the total length of the path traveled by an object. It is a scalar quantity and is measured in units of length. Distance covered only considers the magnitude of the path traveled and does not take into account the direction.
Now, let's analyze the given options and determine the correct ratio:
A: = 1
This option states that the ratio of displacement to distance covered is equal to 1. This means that the magnitude of displacement and the distance covered are the same. Since displacement is a vector quantity and takes into account both magnitude and direction, this option is correct.
B:
This option suggests that the ratio of displacement to distance covered is greater than 1. However, this is not possible as displacement cannot be greater than the total distance covered.
C:
This option suggests that the ratio of displacement to distance covered is less than 1. However, this is also not possible as displacement cannot be less than the total distance covered.
D: < />
This option suggests that the ratio of displacement to distance covered is less than 1, which is not possible.
Therefore, the correct answer is option A: = 1.