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What is something that sounds 100% true but is actually 100% false?
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As a high school physics teacher, if this is the hill you're willing to die on, then you neither understood the content in your high school physics class nor your university physics class. Newton's 2nd law is generally accurate in most scenarios even without simplifications.
Like me stopping to peddle my bike?
Yes, like you stopping to peddle your bike...
A simple force diagram and application of newton's 2nd law predicts the bike should accelerate to the left while it's velocity is towards the right. This means the bike should slow down.