Calculating Distance Traveled: Const., Time, and Dist. Dependent

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To calculate the distance traveled from the origin after one hour, different methods apply based on the speed's dependency. For constant speed, multiplication is appropriate, while speed that varies with time requires integration. If speed depends on the distance from the starting point, differential equations are necessary. However, it is noted that solving differential equations involves integration in all three scenarios. Thus, while the methods differ, they are interconnected through the use of integration.
cask1
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Is it correct to say that following?

To calculate the distance traveled from the origin after 1 hr when the speed:

a) is a constant. Use multiplication.
b) depends on time. Use intergration.
c) depends on distance from the starting point. Use differential equations.
 
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cask1 said:
Is it correct to say that following?

To calculate the distance traveled from the origin after 1 hr when the speed:

a) is a constant. Use multiplication.
b) depends on time. Use intergration.
c) depends on distance from the starting point. Use differential equations.
I suppose you could say that. However, technically, you are solving differential equations (and hence using integration) in all three cases.
 

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