Acceleration After Applied Force is Stopped?

AI Thread Summary
When a truck accelerates and then the clutch is engaged, the engine's force ceases, leading to a question about the subsequent behavior of acceleration and speed. The initial acceleration may not drop instantaneously to zero; instead, it decreases gradually, allowing the truck to continue gaining speed momentarily. This phenomenon is influenced by the inertia of the vehicle, which can cause it to coast and slightly increase in speed before deceleration begins. The speedometer reflects a smoothed average of speed readings, which can create the illusion of continued acceleration. Understanding these dynamics clarifies why the truck can momentarily climb in speed even after the applied force is removed.
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I have a question that has been puzzling me for a while.

When I drive my truck and accelerate hard until 25 mph then put the clutch into roll freely, the truck will climb a few more mph before beginning to slow down. This is on flat ground or even a slight uphill.

The way I see it is as follows. Say acceleration of the truck is 5 ft/s2 (random number). Once the clutch is in the force from the engine is now 0, and therefore acceleration should be 0 unless there is another force pushing the truck forward. However in order to be continuous, acceleration cannot jump from 5 to 0, and will have to decrease continuously. While it is decreasing it is still positive and will cause velocity to climb slowly.

Can anyone explain the physics behind this?
 
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I assume that you are watching the speedometer to determine whether you are speeding up or slowing down.

In order to smooth out the readings so that the needle (or the digits) do not vary wildly, the number that is displayed will be some kind of decaying average of the most recent measured values.

As long as your current speed is still higher than the currently displayed average, that average will still be going up.
 
So its is not continuing to accelerate. Thanks for the answer that has bothered me for a while now!
 
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