How to Set Up Algebraic Expressions for Car Travel Problems?

In summary, two cars start at the same time from the same place and travel along the same road. Car A has a constant speed of 50mph and Car B travels with a constant speed V for 100 miles, then stops to rest for a time, T, and then continues at the same speed for another 100 miles. The questions that need to be answered involve finding the distance between the two cars when Car B stops to rest, the location of Car A when Car B starts up again, the time when Car A passes a marker 150 miles from the starting point, the wait time between the passing of Car A and Car B at the 150 mile marker, and the location of Car A when Car B arrives at a
  • #1
fatuma205
2
0

Homework Statement



Two cars start at the same time from the same place and travel along the same road. Car A has a constant speed of 50mph. Car B travels with the constant speed V for 100 miles, then stops to rest for a time, T, then travels again with constant speed V for another 100 miles. Assume V is greater than 50mph.

Homework Equations



I was trying to set up the equations but have trouble with it but here is what I have so far.
Car A= 50mph
Car B= Vmph + 100miles

The Attempt at a Solution



I got stuck at trying to come up with algebraic expressions.
 
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  • #2


It is not clear to me what you are solving for. Do both cars travel the same distance?
 
  • #3


The first thing they asked was to write an algebraic expressions as answers to the follwing questions.
1. How far is B ahead of A when B stops to rest?
2. Where is A when B starts up again
3. What time is it when A passes a marker 150 miles from the starting point?
4. suppose we were at teh 150 mile marker. how long would we have to wait between the passing of A and the passing of B?
5. Where is A when B arrives at a point 200 miles from its starting point.

I need to step up an algebraic expression in order to answer these questions and from the information they gave me don't know how to step up the formula. In class we used so far V=D/T
thank you
 

FAQ: How to Set Up Algebraic Expressions for Car Travel Problems?

What is kinematics for car travel?

Kinematics for car travel is the study of the motion of cars, specifically their position, velocity, and acceleration. It involves understanding the relationship between time, distance, and speed of a moving car.

Why is kinematics important for car travel?

Kinematics is important for car travel because it allows us to predict the motion of a car, which is crucial for safe driving. It also helps engineers design cars that are efficient and perform well.

How is kinematics used in car accidents?

Kinematics is used in car accidents to determine the cause of the accident, such as the speed and direction of the vehicles involved. This information can help investigators understand what happened and who may be at fault.

What are the main variables in kinematics for car travel?

The main variables in kinematics for car travel are distance, time, velocity, and acceleration. Distance is the total amount of ground covered, time is the duration of the motion, velocity is the speed and direction of the car, and acceleration is the change in velocity over time.

How can kinematics be used to improve fuel efficiency in cars?

Kinematics can be used to improve fuel efficiency in cars by studying the relationship between speed and fuel consumption. By understanding the optimal speed for the car to travel at, engineers can design more fuel-efficient cars. Additionally, kinematics can also be used to analyze the aerodynamics of a car and make improvements to reduce drag and increase fuel efficiency.

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