Physics

We are given the following information:

The object moves with uniformly accelerated motion along a straight line.

The change in velocity is .

The increase in kinetic energy is , where is the initial kinetic energy.

 

Expression for initial kinetic energy

The initial kinetic energy is given by:

where is the mass of the object and is the initial velocity of the object.

 

Kinetic energy at the end of the interval

The velocity of the object at the end of the time interval is , since the change in velocity is . Therefore, the kinetic energy at the end of the interval is:

 

Increase in kinetic energy

The increase in kinetic energy is given as , so we can express this as:

 

Substituting the expressions for and :

 

Since , we can substitute

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