How Do You Calculate the Change in Velocity of a Flying Saucer?

In summary, the flying saucer decelerates from 20 m/s [E] to 50 m/s [W] in 9 seconds. Using the equation V = Δx/Δt, we can calculate the change in velocity to be -30 m/s [E] and 30 m/s [W]. The total displacement during this time is 270 meters. However, to find the velocity for the 9 second interval, we need to divide the displacement by the time, which gives us a velocity of 15 m/s [W].
  • #1
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Homework Statement


A flying saucer decelerates uniformly from 20 m/s [E] to 50 m/s [W] in 9 seconds. Find the velocity for the 9.0 interval.


Homework Equations


Velocity = acceleration x time
or Velocity = displacement/time


The Attempt at a Solution


Velocity1 = 20 m/s [E]
Velocity2 = 50 m/s [W]
Time = 9 s
Velocity = 30 x 9
= 270

However, the answer should be 15 m/s [W].
 
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  • #2
You need to consider what velocity represents.

V = Δx/Δt

Your spaceship has been traveling East at 20m/s and reverses to 50m/s West.

First figure how far it went in stopping going East and then figure how far it went West. Then you can develop the Δx that it traveled in the 9 sec.

The units of your attempt should have told you there was a problem, because you had just the units of displacement in your answer.
 
  • #3


I would like to clarify that the given information is not sufficient to determine the velocity for the 9.0 second interval. In order to accurately calculate the velocity, we would need to know the acceleration of the flying saucer during the deceleration period. Without this information, we cannot accurately determine the velocity for the 9.0 second interval. Additionally, the units for velocity are typically in meters per second (m/s), not just meters (m). Therefore, the final answer should be 15 m/s [W] for the velocity during the 9.0 second interval.
 

1. What is velocity?

Velocity is a physical quantity that describes the rate of change of an object's position with respect to time. It is a vector quantity, meaning it has both magnitude (speed) and direction.

2. How is velocity different from speed?

While velocity and speed both measure how fast an object is moving, velocity also takes into account the direction of motion, while speed does not. This means that two objects can have the same speed, but different velocities if they are moving in different directions.

3. How is velocity calculated?

Velocity is calculated by dividing the change in an object's displacement (final position - initial position) by the change in time. This can be represented by the equation v = Δx/Δt, where v is velocity, Δx is change in displacement, and Δt is change in time.

4. What are some common units for measuring velocity?

Velocity can be measured in various units, but some common ones include meters per second (m/s), kilometers per hour (km/h), and miles per hour (mph). These units all represent a distance traveled per unit of time.

5. How does acceleration affect velocity?

Acceleration is the rate of change of an object's velocity with respect to time. This means that if an object experiences acceleration, its velocity will either increase or decrease over time. If the acceleration is in the same direction as the velocity, the object will speed up. If the acceleration is in the opposite direction, the object will slow down.

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