Same velocity means same
acceleration for two objects.
Two cars are set to drag race. The two cars are driven by
Dastardly Dave and Honest Abe. Dastardly Dave jumps the flag and
starts at t = 0 s, accelerating at a constant rate. One second later
Honest Abe starts, accelerating at a constant rate. At t = 4 s, they
both have the same speed. Compare their accelerations at t = 4
Students who suffer from this misconception will assume that the
accelerations of the two drivers must be equal if they have the same
speed (and direction) at 4 s.
Related misconceptions/student difficulties that may
arise in the question:
(smaller) velocity means larger (smaller) acceleration.
velocity means zero acceleration
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