The distance from ground is .
(a).
\At what time will ball strike the ground.
Therefore ball will strike the ground at distance .
Substitute in
.
or
.
The ball will strike the ground at time is
.
(b).
\The distance from the ground and ball is .
Therefore substitute in
.
and
and
The -intercepts are
or
.
Find the -intercept by substituting
in
-intercept is
.
Find the vertex of above quadratic function .
Compare it to .
,
and
.
Since , then the parabola open upward.
coordinate of vertex is
Vertex
Graph the quadratic equation .
Draw the coordinate plane.
\Plot the intercepts and vertex.
\Connect the plotted points.
\
Therfore the time is in between
and
.
Hence
(a)..
(b)..