Chapter 1 Test

1. A particle moves along x-axis: x(t) = 4t² – 3t + 2. Find velocity and acceleration at t = 3 s.
2. Projectile launched at 20 m/s at 45°. Determine max height, range, and time of flight.
3. A 5 kg block slides down a 30° frictionless incline of 4 m. Find acceleration and final speed.
4. Describe the difference between average velocity and instantaneous velocity.
5. Particle moves with r(t) = (t², t³ – t). Find velocity and acceleration vectors at t = 2 s.
6. Projectile fired horizontally from 15 m height at 10 m/s. Determine landing distance and impact speed.
7. Explain why acceleration is zero for motion at constant velocity and nonzero for changing velocity.
8. Object thrown vertically with 12 m/s. Compute time to reach max height and total flight time.
9. Particle moves along x-axis: x(t) = t³ – 6t² + 9t. Determine times when velocity is zero and acceleration at those times.
10. Compare the horizontal range of projectiles launched at 30°, 45°, and 60° with same initial speed.