Change Quadratic Relations From Vertex Form To Standard Form Worksheet Page 3
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4b) Write this relation in standard form.
c) What was the initial height of the toy rocket?
d) What was the maximum height reached by the toy rocket?
Example 3
Arrow’s Flight
h
An arrow was shot from a cliff,
metres above the canyon floor. After 5 s, the arrow reached
a maximum height of 183 m. The path of the arrow can be modelled by the relation
= −4.9
2
h
t
+
vt
+
h
,
0
where
t
is the time in seconds. Find the initial velocity,
v
, in metres per second and the initial
h
height,
, in metres, of the arrow.
0
Example 4
And it’s a hit . . . . . . .
A baseball was hit into the air. Its path can be modelled by the relation
= −2(
− 4)
2
h
d
d
h
+ 33 where
is the horizontal distance and
is the height, both in metres.
a) Write the relation that models the path of the baseball in standard form.
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