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If a body travels at a constant speed it will travel a certain distance (doesn't matter how far for our purposes). If it's accelerating then its speed is constantly increasing and therefore it covers more distance over every increment of time that it would if it were moving at its initial speed. So, acceleration increases displacement.
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CoachAcceleration affects displacement by changing the rate at which an object's velocity changes. When acceleration is constant, displacement increases over time according to the equation: displacement = initial velocity * time + 0.5 * acceleration * time^2. The higher the acceleration, the faster the object's displacement changes.
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What is the relationship between displacement, velocity, and acceleration in the context of motion?
Displacement is the change in position of an object, velocity is the rate of change of displacement, and acceleration is the rate of change of velocity. In the context of motion, displacement, velocity, and acceleration are related in that acceleration affects velocity, which in turn affects displacement.
How to find displacement using acceleration and time?
To find displacement using acceleration and time, you can use the formula: displacement 0.5 acceleration time2. This formula calculates the distance an object has traveled based on its acceleration and the time it has been accelerating.
What is the relationship between velocity, time, and displacement when acceleration is constant?
When acceleration is constant, the relationship between velocity, time, and displacement can be described by the equations of motion. The velocity of an object changes linearly with time when acceleration is constant. The displacement of the object is directly proportional to the square of the time elapsed.
How do you derive lateral displacement?
Lateral displacement can be derived using the formula: lateral displacement = initial velocity * time + 0.5 * acceleration * time^2. This formula takes into account the initial velocity, acceleration, and time taken for the object to undergo lateral displacement.
What are displacement velocity and acceleration and what are their relationships to each other in terms of motion?
Displacement is the change in position of an object, velocity is the rate at which an object changes its position, and acceleration is the rate at which an object's velocity changes. In terms of motion, acceleration is related to velocity by the derivative of velocity with respect to time, and velocity is related to displacement by the derivative of displacement with respect to time.
