How Do You Calculate Time from Energy and Power?

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To calculate the time interval during which power is delivered to an object, one must first determine the energy delivered using the formula E = P * t, where E is energy, P is power, and t is time. In the given scenario, the ball's initial kinetic energy can be calculated using the formula KE = 0.5 * m * v^2. With a power of 100 watts and the calculated energy, the time can then be found by rearranging the formula to t = E / P. The discussion emphasizes the importance of ensuring units are consistent and relevant to the question asked. Understanding the relationship between energy, power, and time is crucial for solving such physics problems.
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Question:

A 5 kg ball is tossed into the air with an initial velocity of 6 m/s. I f the power delivered to the ball was 100 watts, over what time inteval did the power delivery occur?

my answer = 178m/s/s ?

oh bugger!
 
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First of all, if you're asked for a time interval, then your answer cannot contain acceleration units, i.e. [m/s^2].
 
What's the energy delivered to the ball?

How do you find time when you know energy and power?
 
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