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Qmechanic ♦
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I integrated a jerk-function three times (acceleration, velocity, position) to get the resulting function s(t)$s(t)$ for the position. I am not sure how to use the SI units or dimension in the function.

This is my function. Putting in the time t$t$ as a simple number the result will be the meters the object has passed.

$\ s(t) = 2t³ - 14t² + 20t - 44 $$$\ s(t) = 2t³ - 14t² + 20t - 44 .$$

Is this correct:

$\ s(t) = 2t³ [m/s³] - 14t² [m/s²] + 20t [m/s] - 44 [m]$$$\ s(t) = 2t³ [m/s³] - 14t² [m/s²] + 20t [m/s] - 44 [m].$$

Sorry if this is the wrong site for this kind of question as it is more physics related. I also feel like this is way to obvious but I can't come up with a solution that seems right to me. Thanks a lot!

I integrated a jerk-function three times (acceleration, velocity, position) to get the resulting function s(t) for the position. I am not sure how to use the SI units or dimension in the function.

This is my function. Putting in the time t as a simple number the result will be the meters the object has passed.

$\ s(t) = 2t³ - 14t² + 20t - 44 $

Is this correct:

$\ s(t) = 2t³ [m/s³] - 14t² [m/s²] + 20t [m/s] - 44 [m]$

Sorry if this is the wrong site for this kind of question as it is more physics related. I also feel like this is way to obvious but I can't come up with a solution that seems right to me. Thanks a lot!

I integrated a jerk-function three times (acceleration, velocity, position) to get the resulting function $s(t)$ for the position. I am not sure how to use the SI units or dimension in the function.

This is my function. Putting in the time $t$ as a simple number the result will be the meters the object has passed.

$$\ s(t) = 2t³ - 14t² + 20t - 44 .$$

Is this correct:

$$\ s(t) = 2t³ [m/s³] - 14t² [m/s²] + 20t [m/s] - 44 [m].$$

Sorry if this is the wrong site for this kind of question as it is more physics related. I also feel like this is way to obvious but I can't come up with a solution that seems right to me.

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new_bee
new_bee

Right notation for SI units/dimension in polynomial function?

I integrated a jerk-function three times (acceleration, velocity, position) to get the resulting function s(t) for the position. I am not sure how to use the SI units or dimension in the function.

This is my function. Putting in the time t as a simple number the result will be the meters the object has passed.

$\ s(t) = 2t³ - 14t² + 20t - 44 $

Is this correct:

$\ s(t) = 2t³ [m/s³] - 14t² [m/s²] + 20t [m/s] - 44 [m]$

Sorry if this is the wrong site for this kind of question as it is more physics related. I also feel like this is way to obvious but I can't come up with a solution that seems right to me. Thanks a lot!