Real-World Examples of Calculating Final Velocity

📚 Quick Study Guide

🔍 Final Velocity: The velocity of an object at the end of a specific time period. 💡 Formula: $v_f = v_i + at$, where:
🧪 $v_f$ = final velocity 📈 $v_i$ = initial velocity ⏱️ $a$ = acceleration 📆 $t$ = time
📝 Units:
📏 Velocity: meters per second (m/s) 🚀 Acceleration: meters per second squared (m/s²) ⏱️ Time: seconds (s)
🍎 Key Assumptions: Constant acceleration in a straight line.

🤔 Practice Quiz

1. A car accelerates from rest at a constant rate of 2 m/s² for 5 seconds. What is its final velocity?
   1. A) 5 m/s
   2. B) 7 m/s
   3. C) 10 m/s
   4. D) 12 m/s
2. A ball is thrown upwards with an initial velocity of 15 m/s. Assuming the acceleration due to gravity is -9.8 m/s², what is its final velocity after 2 seconds?
   1. A) -4.6 m/s
   2. B) -4.0 m/s
   3. C) 5 m/s
   4. D) 34.6 m/s
3. A rocket accelerates at 5 m/s² for 10 seconds, starting from an initial velocity of 20 m/s. What is the rocket's final velocity?
   1. A) 60 m/s
   2. B) 70 m/s
   3. C) 75 m/s
   4. D) 80 m/s
4. A cyclist accelerates from 5 m/s to 15 m/s in 5 seconds. What is the cyclist's acceleration?
   1. A) 1 m/s²
   2. B) 2 m/s²
   3. C) 3 m/s²
   4. D) 4 m/s²
5. A train decelerates (negative acceleration) at a rate of -0.5 m/s² from an initial velocity of 30 m/s for 20 seconds. What is its final velocity?
   1. A) 10 m/s
   2. B) 20 m/s
   3. C) 25 m/s
   4. D) 40 m/s
6. A car is traveling at 25 m/s and then accelerates at a rate of 3 m/s² for 3 seconds. What is the final velocity of the car?
   1. A) 31 m/s
   2. B) 34 m/s
   3. C) 28 m/s
   4. D) 40 m/s
7. A stone is dropped from a height and accelerates due to gravity (9.8 m/s²) for 4 seconds. What is its final velocity?
   1. A) 19.6 m/s
   2. B) 29.4 m/s
   3. C) 39.2 m/s
   4. D) 49 m/s