Car collision with an object far away

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SUMMARY

The discussion centers on calculating whether a 2000kg truck traveling at 20m/s on a 6° incline will collide with a duck positioned 24m ahead. The initial calculation using kinetic energy and braking force indicates a stopping distance of 25m, suggesting a collision. However, the impact of gravitational force on the incline must be factored into the braking distance, as gravity and friction together influence the truck's ability to stop effectively on the slope.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic principles of kinetic energy and braking force
  • Knowledge of gravitational force components on an incline
  • Frictional force concepts in physics
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  • Calculate the gravitational force acting on the truck on a 6° incline
  • Learn about the effects of friction on inclined planes
  • Explore advanced braking distance calculations for vehicles
  • Study the dynamics of motion for vehicles on slopes
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This discussion is beneficial for physics students, automotive engineers, and anyone interested in vehicle dynamics and collision analysis.

HoanillaBean
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You drive a 2000kg truck at 20m/s up a hill on a 6° incline. A Duck stands 24m in front of you. You know when you break, a 16000N force is exerted on your car. Will you hit the duck?

My Attempt:

.5(2000kg)(20m/s)^2 = (16000N)(x)

X = 25m, so you will hit the duck.

I am definitely missing something. How do I incorporate the incline into the equation?
 
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well what would happen if the truck was just sitting still on the incline? It would roll down right? So you have to figure out the force that gravity applies in the direction of the slope and add that to the force of friction since both friction and gravity are collaborating to stop the truck from moving up the hill.
 

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