Launching marble upwards - Find speed

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To find the speed of the marble when launched, conservation of energy principles indicate that the initial kinetic energy equals the gravitational potential energy at maximum height. The maximum height of 40m translates to a potential energy of 3920 Joules, leading to an initial speed of approximately 28 m/s. At the halfway point, 20m, the marble has both kinetic and potential energy, allowing for a calculation of its speed using energy conservation. The potential energy at 20m is 1960 Joules, resulting in a speed of about 20 m/s at that height. Understanding these energy transformations is key to solving the problem effectively.
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I cannot work out how to get this question answered.

Question:
A student launches a marble vertically upwards so that it reaches a maximum height of 40m above it's release height. Calculate:

a).The speed of the marble when it is launched.
b). The speed of the marble at the halfway point.:confused:
 
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Try with conservation of energy. What sort of energy does the marble have the instant it is launched? How about the instant it reaches its maximum height?
 
Ok, thanks for your help.:smile:
 

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