Real-world examples of v = v₀ + at in action

📚 Quick Study Guide

• ⏱️ $v$ represents the final velocity.
• 🚀 $v_0$ (pronounced 'v-nought') represents the initial velocity.
• ⏳ $a$ represents the constant acceleration.
• 📅 $t$ represents the time elapsed.
• 💡 The formula $v = v_0 + at$ helps calculate the final velocity of an object undergoing constant acceleration.
• ➕ If acceleration is in the same direction as the initial velocity, the object speeds up.
• ➖ If acceleration is in the opposite direction of the initial velocity, the object slows down.

🧪 Practice Quiz

1. A car starts from rest and accelerates at a constant rate of 3 m/s² for 5 seconds. What is its final velocity?
   1. 5 m/s
   2. 8 m/s
   3. 15 m/s
   4. 20 m/s
2. A cyclist is moving at a speed of 10 m/s and then accelerates at 2 m/s² for 3 seconds. What is the cyclist's final speed?
   1. 12 m/s
   2. 16 m/s
   3. 4 m/s
   4. 8 m/s
3. A ball is thrown upwards with an initial velocity of 20 m/s. Gravity acts as a constant acceleration of -9.8 m/s². After 2 seconds, what is the velocity of the ball?
   1. 39.6 m/s
   2. 0.4 m/s
   3. 10.2 m/s
   4. -10 m/s
4. A rocket accelerates from 100 m/s to 500 m/s in 20 seconds. What is the rocket's acceleration?
   1. 10 m/s²
   2. 20 m/s²
   3. 25 m/s²
   4. 30 m/s²
5. A train is traveling at 30 m/s when the brakes are applied, causing it to decelerate at a rate of -2 m/s². How long does it take for the train to come to a complete stop?
   1. 10 seconds
   2. 15 seconds
   3. 20 seconds
   4. 25 seconds
6. A drone accelerates from an initial velocity of 2 m/s at a constant rate of 4 m/s² for 4 seconds. What is the drone's final velocity?
   1. 8 m/s
   2. 10 m/s
   3. 18 m/s
   4. 22 m/s
7. A car initially moving at 25 m/s slows down with an acceleration of -5 m/s². What is its velocity after 3 seconds?
   1. 5 m/s
   2. 10 m/s
   3. 15 m/s
   4. 20 m/s