To calculate distance, initial velocity, and deceleration, you can use the following formulas:
Distance (d): The distance traveled by an object can be calculated using the formula: d = (v_f^2 - v_i^2) / (2 * a) where v_f is the final velocity, v_i is the initial velocity, and a is the deceleration.
Initial velocity (v_i): If you know the distance traveled, the final velocity, and the deceleration, you can solve for the initial velocity using the formula: v_i = sqrt(v_f^2 - 2 * a * d)
Deceleration (a): If you know the distance traveled, the initial velocity, and the final velocity, you can calculate the deceleration using the formula: a = (v_f^2 - v_i^2) / (2 * d)
It's important to note that these formulas assume uniform deceleration, meaning that the object is decelerating at a constant rate throughout the motion. If the deceleration is not constant, or if other forces are involved, the calculations can become more complex.
Also, keep in mind that negative values for deceleration represent acceleration in the opposite direction, which is commonly referred to as negative acceleration or deceleration.