Definition: This calculator computes the distance traveled (\( s(t) \)) by an object under constant acceleration, based on its initial velocity (\( v_0 \)), initial time (\( t_0 \)), end time (\( t_1 \)), initial position (\( s_0 \)), and constant acceleration (\( a \)).
Purpose: It is used in physics and engineering to analyze motion with constant acceleration, applicable in scenarios like vehicle motion, projectile motion, and mechanical systems.
The calculator uses the relationship:
Where:
Explanation: Enter the initial velocity, end time, initial time, initial position, and constant acceleration in the chosen units, and the calculator computes the distance traveled. Results are displayed with 5 decimal places. For default inputs (\( v_0 = 5 \, \text{m/s} \), \( t_1 = 2 \, \text{s} \), \( t_0 = 0 \, \text{s} \), \( s_0 = 0 \, \text{m} \), \( a = 2 \, \text{m/s}^2 \)), the calculated distance \( s(t) \) is approximately 14.00000 meters.
Details: Calculating the distance traveled under constant acceleration is crucial for understanding motion dynamics, such as in automotive engineering, aerospace, and physics experiments involving uniform acceleration.
Tips: Enter values for initial velocity, times, initial position, and acceleration with up to 4 decimal places (step of 0.0001), then click "Calculate." Results show the distance traveled \( s(t) \) in meters, kilometers, miles, feet, and yards, always with 5 decimal places.