kinematics quiz

📚 Quick Study Guide

• 📏 Displacement: The change in position ($\Delta x = x_f - x_i$).
• ⏱️ Velocity: The rate of change of displacement ($v = \frac{\Delta x}{\Delta t}$).
• 🚀 Acceleration: The rate of change of velocity ($a = \frac{\Delta v}{\Delta t}$).
• 🍎 Uniform Acceleration Equations (SUVAT):
  • $v = u + at$
  • $s = ut + \frac{1}{2}at^2$
  • $v^2 = u^2 + 2as$
  • $s = \frac{1}{2}(u+v)t$
  • $s = vt - \frac{1}{2}at^2$
• 🎯 Projectile Motion: Analyzing motion in two dimensions (horizontal and vertical components). Remember to consider gravity ($g = 9.8 m/s^2$) acting downwards.

✍️ Practice Quiz

1. A car accelerates from rest to 20 m/s in 5 seconds. What is its acceleration?
   1. 2 m/s²
   2. 4 m/s²
   3. 5 m/s²
   4. 10 m/s²
2. A ball is thrown vertically upwards with an initial velocity of 15 m/s. What is the maximum height it reaches (ignoring air resistance)?
   1. 10.2 m
   2. 11.5 m
   3. 15.0 m
   4. 22.5 m
3. An object moves with a constant velocity of 5 m/s for 10 seconds. What is the displacement?
   1. 2 m
   2. 0.5 m
   3. 50 m
   4. 5 m
4. A cyclist travels 100 meters in 20 seconds. What is their average speed?
   1. 2 m/s
   2. 5 m/s
   3. 10 m/s
   4. 20 m/s
5. A stone is dropped from a cliff. How far does it fall in 3 seconds (ignoring air resistance)?
   1. 9.8 m
   2. 14.7 m
   3. 29.4 m
   4. 44.1 m
6. What is the final velocity of an object that accelerates at 2 m/s² from an initial velocity of 5 m/s over a distance of 10 meters?
   1. 7 m/s
   2. 9 m/s
   3. 15 m/s
   4. 25 m/s
7. A projectile is launched at an angle. At what point in its trajectory is its vertical velocity zero?
   1. Immediately after launch
   2. At its maximum height
   3. Immediately before impact
   4. Throughout the entire flight