Speed of a Car on Straight Road

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SUMMARY

The discussion focuses on determining the speed of a car on a straight road after analyzing its performance on an inclined road at 4 degrees. The car travels at 25 km/h uphill and 100 km/h downhill, utilizing maximum motor power in both scenarios. The key to solving the problem lies in understanding the forces acting on the car and applying the correct motion equations. The participant is encouraged to consider the acceleration, which is zero, as the car maintains constant speed in both cases.

PREREQUISITES
  • Understanding of basic physics concepts, particularly forces and motion.
  • Familiarity with trigonometry, specifically the relationship between angles and distances.
  • Knowledge of Newton's laws of motion and their application to real-world scenarios.
  • Ability to apply the Pythagorean theorem in practical situations.
NEXT STEPS
  • Study the equations of motion from HyperPhysics to understand the principles involved.
  • Learn about the forces acting on vehicles on inclined planes and how they affect speed.
  • Explore the concept of constant acceleration and its implications in physics problems.
  • Investigate the relationship between power, speed, and incline in automotive physics.
USEFUL FOR

Students studying physics, automotive engineers, and anyone interested in the dynamics of vehicle motion on inclines and flat surfaces.

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Homework Statement


A car is driving 25km/h upward a road,the road is under a angle of 4 degrees.The same car goes 100 km/h when it goes downward the same road,in both cases,when the car is driving upward and downward it's using the maximum possible power of the motor.Whats the speed of the car when it's driving on a straight road(the angle is 0).

Homework Equations


http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html .Equations for motion.


3. The Attempt at a Solution [/b
I know from real life that if a road is 4 degrees this means that after 100 meters on the straight ground you go 4 meters up.So I thought it's a triangle and I used pitagoras equation to get the hypothenuse.After I got that I thought ok,now we have the way which the car has overcome.And I thought also that because it's using full motors power that the speed should be constant,but I don't know how to continue or if the previous things which I said here are correct.
 
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4 degrees does not mean 4 meter elevation per 100 m, it is more. What is the equation for that?

Regardless, you should start by writing down the forces acting on the car; their sum is the acceleration, which is zero. You have three different cases to consider.
 

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