- #1

mopar969

- 201

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I think that maybe I need to take the derivative of the equation but then what please help!

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- Thread starter mopar969
- Start date

In summary, the conversation involves calculating the average velocity of a car traveling along a straight road with a given displacement equation. The average velocity can be found by dividing the total distance traveled by the time interval. The question also involves finding the time when the car is at rest, which can be determined using another equation related to the displacement function and the quadratic formula may be used to solve for t.

- #1

mopar969

- 201

- 0

I think that maybe I need to take the derivative of the equation but then what please help!

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- #2

collinsmark

Homework Helper

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If you only need to find themopar969 said:How do you calculate the average velocity of the car for the time interval t=0 to t=10.

- #3

mopar969

- 201

- 0

However, the question has another part to it that I am stuck on it says:

How long after stating from rest is the car again at rest? Please Help and Thanks.

- #4

Johnny Blade

- 30

- 0

x(t)= bt^2 -ct^3, this finds the displacement as a function of time. You'll need another equation (related to this one) to find the velocity as a function of time.

- #5

mopar969

- 201

- 0

Would I need the derivative of the displacement function?

- #6

Johnny Blade

- 30

- 0

Yes that would give you the velocity.

- #7

mopar969

- 201

- 0

My next problem is how do I get t by itself?

- #8

mopar969

- 201

- 0

Never mind I realized that I could use the quadratic formula.

Instantaneous velocity is the velocity of an object at a specific moment in time. In a car problem, it refers to the speed and direction of the car at a particular instant, rather than an average speed over a period of time.

Instantaneous velocity can be calculated by taking the derivative of the position function with respect to time. In a car problem, this would involve finding the first derivative of the car's position over time to determine its instantaneous velocity at a given time.

Average velocity is the total displacement of an object over a period of time, divided by the time taken to travel that distance. Instantaneous velocity, on the other hand, is the velocity of an object at a specific moment in time. Average velocity gives an overall picture of an object's motion, while instantaneous velocity provides information about its speed and direction at a particular instant.

Acceleration is the change in velocity over time. In a car problem, if the car is accelerating, its instantaneous velocity will change over time. If the car is accelerating at a constant rate, its instantaneous velocity will increase or decrease at a steady rate. If the car is accelerating at a varying rate, its instantaneous velocity will change more rapidly.

Yes, instantaneous velocity can be negative in a car problem. This would indicate that the car is moving in the opposite direction of its initial motion. For example, if a car is initially moving forward and then begins to decelerate, its instantaneous velocity at some point during the deceleration may become negative, indicating that it is now moving in the opposite direction.

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