Maximum kinetic energy with force F=(12-2x)N on a 2kg body

[chaslltt]

1.the only force acting on a 2kg body as it moves along the x-axis is given by F=(12-2x)N where x is in m. the velocity of the body at x=2m is 5.5i m/s. what is the maximum kinetic energy attained by the body?




2. KE= mv^2



3. My friend said the answer is 46J but I am not sure how he got it

 

[Tedjn]

You will need to find the maximum of |v(x)|. You know F(x) and mass. What quantity related to the velocity do you therefore know?

 

[chaslltt]

help!