PROBLEMS
- An object's initial position is m. After 4 seconds, its position is m. Find the average velocity vector during this time interval.
- A particle moves with a constant velocity of m/s. If it starts at the origin, what is its position vector after 6 seconds?
- A ball is thrown vertically upward with an initial velocity of m/s. Assuming only gravity acts on it ( m/s2), find the ball's velocity vector after 2 seconds.
- The acceleration of a rocket is given by m/s2. If the rocket starts from rest at the origin, find its velocity vector at t = 4 seconds.
- A car's velocity is given by m/s. Find the displacement of the car between t = 1 second and t = 3 seconds.
- An object has an initial velocity of m/s and a constant acceleration of m/s2. Find its velocity vector after 4 seconds.
- A particle's acceleration is given by m/s2. If its initial velocity is m/s, find its velocity vector as a function of time.
- The position vector of a moving object is m. Find its acceleration vector at t = 2 seconds.
- A projectile is launched with an initial velocity of m/s from ground level. Ignoring air resistance, what is the y-component of its velocity at its maximum height? What is the acceleration vector at the maximum height?
- Identify and describe what is wrong with the following equation and provide a corrected version (if applicable, or explain why no correction is possible): , where is velocity and is position.
ANSWERS
- m/s
- m
- m/s
- m/s
- m
- m/s
- m/s
- m/s2
- 0 m/s, m/s2
- Position is a vector, not a scalar. It should be .