Velocity over time / 2 questions

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Lillian's bicycle travel can be described using the equation distance = speed × time. For her average speed of 7.5 m/s over 5.0 minutes, converting time to seconds gives 300 seconds, resulting in a distance of 2250 meters, not 2300 meters as initially stated. The discussion clarifies that speed and velocity can be used interchangeably in this context, though velocity is technically a vector quantity that includes direction. The confusion around the terms highlights the importance of understanding the relationship between speed, distance, and time. Overall, the focus is on deriving the correct equations to solve the problems presented.
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Homework Statement


1. Lillian rides her bicycle along a straight road at an average velocity (v).
(1)Write an equation showing how far she travels in time (t).
(2) If Lillian’s average speed is 7.5m/s for a time of 5.0min, show that she travels a distance of 2300m.

Homework Equations


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The Attempt at a Solution


I've read quite a bit in the notes that I've taken and can't find the relevant equation needed to solve both questions. I'm not looking for the "answer" so much. But the equations needed to solve would be amazing. I'll do the work myself.
 
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What does 1 m/s mean, mathematically?
 
negitron said:
What does 1 m/s mean, mathematically?

1.0 meters per second?
 
Does that not suggest an equation which relates distance, time and speed?
 
negitron said:
Does that not suggest an equation which relates distance, time and speed?

speed = meters/time .. so just speed = distance/time.
 
Correct. Now, you can solve problem #1, at the very least.
 
I suppose I'm confused about the difference between speed/velocity. Time to read. Thanks a lot for the help!
 
In this case, speed and velocity are interchangeable. More formally, velocity is a vector quantity which includes speed AND direction but for the purposes of this exercise, you needn't worry about that distinction.
 
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