Question 77273
The function that describes the height (h), as a function of time (t) of an object propelled upwards with an initial velocity of {{{v[0]}}}m/s from an initial height of {{{h[0]}}} meters, is given by:
{{{h(t) = -4.9t^2+v[0]t+h[0]}}}
For the golf ball decribed in this problem, {{{v[0] = 4.9}}}secs. and {{{h[0] = 0}}}meters. So you can write:
{{{h(t) = -4.9t^2+4.9t}}}
Here is the graph:
{{{graph(300,200,-5,5,-5,5,-4.9x^2+4.9x)}}}
From the graph, the golf ball will return to the ground after 1 second.