SOLUTION: Suppose the height of a golf ball is described after initial velocity from the ground of 4.9 m/sec. Write the equation for describing the geight of the ball after t seconds have e

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Question 77273: Suppose the height of a golf ball is described after initial velocity from the ground of 4.9 m/sec. Write the equation for describing the geight of the ball after t seconds have elapsed. By graphing, predict how long it will be before the ball returns to the ground.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The function that describes the height (h), as a function of time (t) of an object propelled upwards with an initial velocity of v%5B0%5Dm/s from an initial height of h%5B0%5D meters, is given by:
h%28t%29+=+-4.9t%5E2%2Bv%5B0%5Dt%2Bh%5B0%5D
For the golf ball decribed in this problem, v%5B0%5D+=+4.9secs. and h%5B0%5D+=+0meters. So you can write:
h%28t%29+=+-4.9t%5E2%2B4.9t
Here is the graph:
graph%28300%2C200%2C-5%2C5%2C-5%2C5%2C-4.9x%5E2%2B4.9x%29
From the graph, the golf ball will return to the ground after 1 second.