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Displacement Formula:
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The displacement formula s = ut + (1/2)at² calculates the displacement of an object under constant acceleration. It's one of the fundamental equations of motion in classical physics, relating initial velocity, time, acceleration, and displacement.
The calculator uses the displacement formula:
Where:
Explanation: This equation calculates how far an object travels when it starts with an initial velocity and experiences constant acceleration over time.
Details: Calculating displacement is essential in physics for understanding motion, predicting object positions, solving kinematics problems, and analyzing real-world scenarios like vehicle motion, projectile trajectories, and mechanical systems.
Tips: Enter initial velocity in m/s, time in seconds, and acceleration in m/s². Time must be non-negative. Positive acceleration increases velocity, while negative acceleration (deceleration) decreases it.
Q1: What's the difference between displacement and distance?
A: Displacement is a vector quantity measuring change in position with direction, while distance is a scalar quantity measuring total path length traveled.
Q2: When is this formula applicable?
A: This formula applies only when acceleration is constant. For variable acceleration, calculus-based methods are needed.
Q3: What if initial velocity is zero?
A: If u = 0, the formula simplifies to s = (1/2)at², which describes displacement under constant acceleration from rest.
Q4: Can this formula be used for free fall?
A: Yes, for free fall near Earth's surface, use a = -9.8 m/s² (negative indicates downward direction).
Q5: How does this relate to other equations of motion?
A: This is one of four standard equations of motion. Others include v = u + at and v² = u² + 2as.