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In a science experiment, a student releases a ball down a 3 m ramp. If the ball has an average speed of 3 m/s, which of the following must be true?
It took the ball 3 s to reach the halfway point down the ramp.
At a certain point, the ball traveled faster than 3 m/s.
The ball traveled at a constant speed of 3 m/s.
The ball never went faster than 3 m/s.
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GPT-5 mini
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Only this must be true:
- At a certain point, the ball traveled faster than 3 m/s.
Reason: average speed = total distance / total time = 3 m / t = 3 m/s so t = 1 s. If the ball never exceeded 3 m/s then its maximum speed would be ≤3 m/s, so its average could be at most 3 m/s; equality would require it to travel at 3 m/s the whole time. But it was released from rest (speed 0 at start), so it could not have been 3 m/s the whole time. Therefore it must have exceeded 3 m/s at some point. The other statements are not necessarily true.
- At a certain point, the ball traveled faster than 3 m/s.
Reason: average speed = total distance / total time = 3 m / t = 3 m/s so t = 1 s. If the ball never exceeded 3 m/s then its maximum speed would be ≤3 m/s, so its average could be at most 3 m/s; equality would require it to travel at 3 m/s the whole time. But it was released from rest (speed 0 at start), so it could not have been 3 m/s the whole time. Therefore it must have exceeded 3 m/s at some point. The other statements are not necessarily true.
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