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Given the following function s(t)=3t^2-12t+15 for the displacement of an object, where s(t) is in metres and t is time in seconds, determine the displacement of the object when it is stationary. 

 Nov 24, 2018

Best Answer 

 #1
avatar+17990 
+2

When it is stationary, v = 0

If we take the derivative of the displacement fxn , it is the velocity function

   then we can set the VELOCITY function = 0 to find TIME to substitute in to the DISPLACEMENT fxn

 

the derivative is

    6t-12 = velocity

    6t-12 = 0   yields t = 2 sec

 

Substitute this in to the displacement fxn

3(2^2) -12(2) +15 = 3 m

 Nov 25, 2018
 #1
avatar+17990 
+2
Best Answer

When it is stationary, v = 0

If we take the derivative of the displacement fxn , it is the velocity function

   then we can set the VELOCITY function = 0 to find TIME to substitute in to the DISPLACEMENT fxn

 

the derivative is

    6t-12 = velocity

    6t-12 = 0   yields t = 2 sec

 

Substitute this in to the displacement fxn

3(2^2) -12(2) +15 = 3 m

ElectricPavlov Nov 25, 2018

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