How Fast Will the Car Hit the Garage Door at the Bottom of the Incline?

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A 2000 kg car on a 20-degree incline rolls down a 20-meter driveway after its parking brake slips. To determine the speed at which it hits the garage door, one can apply energy principles, focusing on the conversion of potential energy to kinetic energy. Using trigonometry, the gravitational force can be resolved into components to find acceleration. The final velocity can then be calculated using the distance traveled and the derived acceleration. The discussion emphasizes the importance of showing an attempt at solving the problem before seeking further assistance.
Renee8
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1. A 2000 kg car in neutral at the top of a 20 degree inclined 20 meter long driveway slips its parking break and rolls downward. at what speed will it hit the garage door at the bottom of the incline? Neglect all retarding forces



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Work shown?

I would use energy by the way, since you're dealing with speed/velocity and a change in height.
 


Use trig to break the car's force of gravity down into components. Find acceleration using F=ma and use the given distance to find final velocity.
 


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