+0  
 
0
45
1
avatar

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. 

Guest Nov 24, 2018

Best Answer 

 #1
avatar+14470 
+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

ElectricPavlov  Nov 25, 2018
 #1
avatar+14470 
+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

13 Online Users

avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.