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Problem 34.
An object is fired straight up at a speed of 9.8m/s. Compute its maximum altitude and the time it takes to reach that height. Ignore air resistance.
Solution:
This is the free fall motion. The initial velocity is 9.8 m/s pointing upward. The acceleration is  pointing downward. The initial height of the object is 0 m. Then the equations which describe this motion are the following:
The maximum altitude corresponds to the condition that the velocity at this point is 0. Then from the second equation we can find the time:
Then
From the first equation we can find height:
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