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At the bottom of the ramp, the higher the ramp the faster the speed, ignoring frictionl forces

The speed varies as the square root of the height

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Q: How does the height of a ramp affect the speed of a rolling object?

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height tailwinds or headwinds.

Distance and time do not, in general, affect the speed. Speed, however, can affect distance or time. Distance is directly proportional to speed, time is inversely proportional.

Changing the slope of the ramp will affect the speed of the vehicle going down it.

The acceleration of gravity is 32 feet per second, per second. This means that --eliminating any obvious aerodynamic considerations as there would be with, say, a feather -- the speed at which an object falls increases proportionately to the time it is falling. An object falling from a greater height will be falling for a longer time period and thus will reach a higher velocity and impact the ground with a greater force than one falling from a lower height.

If you are talking about a car rolling down a ramp then yes. The taller the ramp the more momentum the car will create there for the car will travel farther and faster.

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It has no direct affect on the speed of an object. It does affect the energy content of the speeding object.

It has no direct affect on the speed of an object. It does affect the energy content of the speeding object.

This is completely unrelated to the height. An object at that mass, and speed, can be at any height.This is completely unrelated to the height. An object at that mass, and speed, can be at any height.This is completely unrelated to the height. An object at that mass, and speed, can be at any height.This is completely unrelated to the height. An object at that mass, and speed, can be at any height.

Height directly affects gravitational potential energy, since this energy is equal to mgh (mass x gravity x height). Height does not affect kinetic energy, which depends on the speed, not on the height. Except indirectly - for example, if an object is falling down, its speed will usually increase.

Mass does not affect the acceleration of an object due to gravity. Any object of any size or mass will fall at the same speed. A ball rolling down an inclined plane is accelerated by gravity, so its speed won't be affected by its mass at all.

Circular motion would change the direction of an object but would not affect the object's speed.

yes

mass

Yes

height tailwinds or headwinds.

no impossible

Well, you could try rolling a bowling ball across grass and see how far you get.