What is the Velocity of a Car with Constant Acceleration?

In summary, part 1 introduces a scenario where a car is traveling with constant acceleration and has to cover a distance of 81.4 m between two checkpoints within 5.89 s. Part 2 asks to find the velocity at checkpoint B when the acceleration is 7.45 m/s^2. Some attempts are made to solve this problem, including using the formula d = Vi*t + 0.5a*t^2.
  • #1
bns1201
22
0

Homework Statement


Part 1 Consider a car which is traveling along a straight road with constant acceleration a. There are two checkpoints, A and B , which are a distance 81.4 m apart. The time it takes for the car to travel from A to B is 5.89 s.

Part 2 Find the velocity VB for the case where the acceleration is 7.45 m/s^2.

The Attempt at a Solution


acceleration multiplied by the final time does not give me the answer
 
Last edited:
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  • #2
What is VB? Is that supposed to be the velocity once it reaches checkpoint B?
 
  • #3
yea my browser won't load the functions so it should read V(sub)B which is the velocity once it reaches checkpoint B.
 
  • #4
Perhaps start by finding what the velocity at checkpoint A is.
 
  • #5
how would you go by doing that?
 
  • #6
anyone? I have no clue how to find the velocity at either checkpoints with the given data
 
  • #7
Take A to be the initial point, time = 0.
Then for the trip to B you know d, t, and a. Don't know Vi.
You could make progress with d = Vi*t + 0.5a*t^2 which has only one unknown.
There is another formula like that with a Vf instead of a Vi which would get you to the answer in one step.
 

What is car velocity?

Car velocity, also known as car speed, is the measure of how fast a car is moving. It is typically measured in miles per hour (mph) or kilometers per hour (km/h).

How is car velocity calculated?

Car velocity is calculated by dividing the distance traveled by the time it took to travel that distance. This can be expressed as the equation: velocity = distance / time. For example, if a car travels 100 miles in 2 hours, its velocity would be 50 mph.

What factors can affect car velocity?

Several factors can affect car velocity, including the engine power, weight of the car, road conditions, and air resistance. Other factors such as wind, incline, and tire pressure can also have an impact on car velocity.

What is the difference between car velocity and car acceleration?

Car velocity and car acceleration are related but different concepts. Velocity is the measure of how fast a car is going at a specific moment in time, while acceleration is the measure of how quickly the car's velocity is changing. Acceleration is often measured in meters per second squared (m/s²).

How can car velocity be increased?

Car velocity can be increased by increasing the engine power, reducing the weight of the car, and improving aerodynamics. Proper maintenance and tuning of the car can also help improve its velocity. However, it is important to follow speed limits and drive safely to ensure the safety of yourself and others on the road.

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