Constant Acceleration Quiz with Answers: AP Physics C

📚 Quick Study Guide

• 📏 Constant acceleration means the velocity changes at a steady rate.
• ⏱️ Key kinematic equations (for constant acceleration in one dimension):
  • $v = v_0 + at$
  • $x = x_0 + v_0t + \frac{1}{2}at^2$
  • $v^2 = v_0^2 + 2a(x - x_0)$
• ⚠️ Remember that these equations only apply when acceleration is constant.
• ➕ Vectors: Velocity and acceleration are vectors, so direction matters (+/-).
• 📐 Projectile motion can be analyzed as constant acceleration in x and y directions.

✍️ Practice Quiz

1. A car accelerates from rest at a constant rate of $3 \frac{m}{s^2}$. How far will it travel in 4 seconds?
   1. 6 m
   2. 12 m
   3. 24 m
   4. 48 m
2. An object is thrown vertically upwards with an initial velocity of $10 \frac{m}{s}$. Assuming $g = 9.8 \frac{m}{s^2}$, what is the maximum height reached?
   1. 5.1 m
   2. 10.2 m
   3. 1.0 m
   4. 20.4 m
3. A ball rolls down an inclined plane with constant acceleration. If it starts from rest and reaches a velocity of $6 \frac{m}{s}$ in 3 seconds, what is its acceleration?
   1. $1 \frac{m}{s^2}$
   2. $2 \frac{m}{s^2}$
   3. $3 \frac{m}{s^2}$
   4. $4 \frac{m}{s^2}$
4. A rocket accelerates upward from rest at $5 \frac{m}{s^2}$. How long will it take to reach a velocity of $20 \frac{m}{s}$?
   1. 2 s
   2. 4 s
   3. 6 s
   4. 8 s
5. An object moves with an initial velocity of $5 \frac{m}{s}$ and a constant acceleration of $-2 \frac{m}{s^2}$. What is its velocity after 3 seconds?
   1. -1 m/s
   2. 1 m/s
   3. 11 m/s
   4. -11 m/s
6. A car traveling at $30 \frac{m}{s}$ applies brakes and decelerates at a constant rate of $-6 \frac{m}{s^2}$. What is the stopping distance?
   1. 50 m
   2. 75 m
   3. 100 m
   4. 125 m
7. An elevator accelerates upwards from rest at $2 \frac{m}{s^2}$ for 5 seconds. What is its displacement during this time?
   1. 10 m
   2. 25 m
   3. 50 m
   4. 100 m