Drone Collision: Calculating Velocity and Acceleration
What are the velocity and acceleration of the drone immediately before colliding with the bird?
a) Calculate the velocity and acceleration of the drone immediately prior to the collision.
Drone Velocity and Acceleration Calculation
The velocity of the drone before the collision was 2.3667 m/s and the acceleration was -0.333 m/s², indicating that the drone was slowing down.
To calculate the velocity and acceleration of the drone before colliding with the bird, we need to analyze the distances traveled in freeze frames. In the first freeze frame, the drone traveled 1.54 m in 0.6 seconds, resulting in a velocity of 2.5667 m/s. In the second freeze frame, the drone traveled 1.42 m in 0.6 seconds, resulting in a velocity of 2.3667 m/s.
The change in velocity (delta v) can be calculated by finding the difference between the final and initial velocities, which is 2.3667 m/s - 2.5667 m/s = -0.2 m/s. The time interval (delta t) remains the same at 0.6 seconds. Using the formula a = delta v / delta t, the acceleration is -0.2 m/s / 0.6 s = -0.333 m/s². The negative sign indicates the drone was slowing down.
Therefore, the velocity of the drone immediately prior to the collision was 2.3667 m/s, and the acceleration was -0.333 m/s².