I'm struggling to come up with an answer to the following situation and question:
"Suppose you are driving your car along a straight road in the positive direction and are speeding up (increasing your velocity in the positive direction). You now relax slowly on the gas pedal, decreasing the magnitude of your acceleration (you do not use the brake).
Are you increasing or decreasing your speed while the magnitude of the acceleration decreases?"
I know that decreasing the magnitude of acceleration doesn't necessarily mean an object is decelerating (e.g. a car accelerating from 0-50mph, and then again from 50-60mph in the same amount of time - the magnitude of the acceleration is smaller but the car is still accelerating), but in the above case, I struggle to see how slowly taking your foot off of the gas could potentially increase speed, even though your foot is still on the accelerator. My gut is telling me that the car's speed would decrease, but I'm having trouble justifying that and don't even know if that is correct.
I would love to hear what you all think.