Correct option is A
The correct answer is (A) Displacement
Explanation:
• Velocity is mathematically defined as the rate of change of displacement with respect to time. The formula is: Velocity (v) = Displacement (s) / Time (t).
• By rearranging this algebraic equation to solve for displacement, we get: Displacement (s) = Velocity (v) × Time (t).
• Therefore, multiplying the uniform velocity of an object by its total travel time yields the total displacement of the object.
Information Booster:
• Velocity vs. Speed: Because velocity is a vector quantity (it has a specific direction), the product of velocity and time gives displacement (a vector). The product of speed (a scalar) and time gives total distance (a scalar).
• Velocity-Time Graph: If you plot a velocity-time graph for uniform motion (a straight horizontal line), the geometrical area under that line represents the total displacement.
Additional Knowledge:
• Option B (Acceleration): This is the change in velocity divided by time (a = Δv/t), not velocity multiplied by time.
• Option C (Force): According to Newton's Second Law, Force is mass multiplied by acceleration (F = m × a).
• Option D (Momentum): This is defined as the product of an object's mass and its velocity (p = m × v).