Speed at 5 Seconds on Linear Plot with Slope 5.0 m/s2

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SUMMARY

The discussion centers on a linear plot of speed versus elapsed time, characterized by a slope of 5.0 m/s² and a vertical intercept of 5.0 m/s. The change in speed between 4.0 seconds and 6.0 seconds is definitively calculated as 10 m/s. At an elapsed time of 5.0 seconds, the speed is determined to be 30 m/s, factoring in the vertical intercept of 5.0 m/s. The confusion regarding the initial speed at t = 0 is clarified by the equation of the line representing the plot.

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A linear plot of speed versus elapsed time has a slope of 5.0 m/s2 and a vertical intercept of 5.0 m/s.
(a) What is the change in speed in the time interval between 4.0 seconds and 6.0 seconds?
The answer is 10, which completely makes sense to me.
But...

(b) What is the speed when the elapsed time is equal to 5.0 seconds?
5.0 m/s2 after 5 seconds, i thought the speed would be 25 (speed starts at 0)? I'm not sure where the vertical intercept comes in.
 
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What is speed at t = 0 ?
 

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