What is the Formula for Final Velocity During Deceleration? Explained with Example

Learn the formula to calculate final velocity during deceleration, including step-by-step explanation and real-world example.

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The formula for final velocity in deceleration is given by: `v_f = v_i + a * t`, where `v_f` is the final velocity, `v_i` is the initial velocity, `a` is the acceleration (negative, in the case of deceleration), and `t` is the time. For instance, if a car is decelerating at a rate of -2 m/s² for 5 seconds from an initial velocity of 20 m/s, the final velocity would be calculated as: `v_f = 20 + (-2) * 5 = 10 m/s`.

FAQs & Answers

  1. What is the difference between acceleration and deceleration? Acceleration refers to the rate of change of velocity in any direction, while deceleration specifically means acceleration in the direction opposite to the velocity, causing a reduction in speed.
  2. How do you calculate final velocity when an object is slowing down? You use the formula v_f = v_i + a * t, where the acceleration 'a' is negative to represent deceleration, then multiply by time and add to the initial velocity.
  3. Can final velocity be zero during deceleration? Yes, if an object slows down uniformly, the final velocity can reach zero when its speed comes to a complete stop after sufficient time.