Work when the force is increasing in relation to time

[luckis11]

Homework Statement

Is the work W equal to 1/2mu^2 when the force is increasing in relation to time? For example, the acceleration of the mass at the end of the 1st sec is 1meter/sec^2, at the end of the 2nd sec is 2meters/sec^2, at the end of the 3rd sec is 3meters/sec^2 and so on. The initial velocity of the mass is zero, and u is the final velocity of the mass. The mass remains constant. (classical physics, not relativistic).

Homework Equations

The Attempt at a Solution

 

[tiny-tim]

Welcome to PF!

Hi luckis11! Welcome to PF!

(try using the X² tag just above the Reply box )

Yes, the work-energy theorem says that total https://www.physicsforums.com/library.php?do=view_item&itemid=75" equals total change in energy