Part e. is asking for what values of t in the first 60 seconds is x(t)<=3m.Originally Posted by rachael
From your sketch of the graph of x(t) in part d you will know that
the range of t satisfying this condition is ~15-30 seconds. Further
checking will show that to find the exact end points of this interval
we need the roots of:
which may be rearranged to:
Now the angles which have a cosine of -1/2 should be well known to
you, these are:
Then with a little bit of experiment you will find that the times close to 15
and 30 seconds which are solutions to this are 16 and 32 seconds.
So we have the result for t in the closed interval [16,32] seconds the height is at most 3m.