Which has higher Kinetic Energy?

[utkarshakash]

Homework Statement

A man in an open car moving with high speed. throws a ball with his full capacity along the direction of motion of the car. Now, the same man throws the same ball when the car is not moving. In which case the ball possesses more kinetic energy:
a)in ground frame
b)in car frame

Homework Equations

The Attempt at a Solution

As seen from the ground frame and when the car is moving the ball's inital velocity is (vel of car+vel of ball). But when the car is at rest the ball's init velocity is only the ball's velocity. So in the first case KE must be higher but I think my solution is wrong as this is not the correct answer.
As seen from the car frame and when the car is moving the ball's relative velocity = Ball's Velocity-Car's Velocity.But when the car is at rest, the ball's relative velocity is equal to its own velocity. So in the second case KE must be higher but this too is wrong. I can't understand where I'm going wrong. Please help me to point out my mistakes and also tell the correct answer.

 

[jedishrfu]

So the man throws the ball while riding in the car so the balls velocity relative to the car is the balls velocity. No need to subtract the cars velocity from it.

 

[utkarshakash]

But what about the first case when seen from ground?

 

[utkarshakash]

Thanks. I knew where I did wrong. Actually the ball's velocity as seen from the ground frame when the car is moving = ball's velocity+car's velocity whereas when the car is at rest, the ball's velocity is equal to its own velocity. So in the second case KE must be higher and this is the correct answer. thanks again for the help.:)

 

[Nickie]

In this scenario, the ball will possess more kinetic energy when thrown in the direction of motion of the car, regardless of whether the car is moving or at rest. This is because the initial velocity of the ball in the ground frame is higher when thrown in the direction of motion of the car, as it is the sum of the car's velocity and the ball's velocity. In the car frame, the ball's velocity will be the same in both cases, but the car itself will have kinetic energy when it is moving, which will contribute to the overall kinetic energy of the system. Therefore, the ball will have more kinetic energy when thrown in the direction of motion of the car, regardless of the reference frame.