Does the Direction of an Object's Velocity Affect its Rotational Kinetic Energy?

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The direction of an object's velocity does not affect its initial kinetic energy (KE) when thrown at a velocity greater than escape velocity, as KE is determined by the formula KE = 0.5mv². However, as the object ascends, it converts some kinetic energy into potential energy (PE), resulting in a loss of KE regardless of the angle of launch. In the absence of air resistance, the launch angle is irrelevant, but air resistance significantly impacts performance, as seen with the space shuttle needing to throttle back to manage drag. Jets aim to fly at high altitudes to minimize air resistance, but may need to land for refueling if they cannot reach their intended altitude. The measurement of KE also depends on the chosen frame of reference, which must be clearly defined.
godel
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suppose we are sitting on earth.now we threw a object with velosity greater than escape velosity.will the kinetic energy remain same if we throw the object in different directions?how
 
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When the object leaves the ground it will have a certain KE = 0.5mv2. It will convert KE to PE as it climbs so some KE will be lost regardless of the angle.

If you ignore air resistance it does not matter which angle it takes. However air resistance is normally an issue. The space shuttle had to throttle back to reduce drag forces after take off. Once high enough it could accelerate again.

Jets prefer to fly as high as possible due to air resistance. They sometimes need to land and refuel if something prevents them climbing as high as planned.
 
The KE that you ascribe to an object depends upon the frame of reference in which you measure it (as does velocity). So, first you must be explicit about the frame of reference you are referring your measurements to.
 
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