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| PAGE: 690 | SET: Exercises | PROBLEM: 55 |
The Adam hits a golf ball off a cliff height is 
.
The initial speed is 
.
The angle of elevation is 
to the horizontal.
The value of 
.
Time as a parameter in parametric equations are 
and 
.
Substitute 
and 
in .
.
Substitute 
, 
, 
and in .
.
The parametric equations that model the position of the ball as a function of time is 
and 
.
(b)
The ball is in the air until, 
.
and 
and 
.
Time should not be in negative.
.
The ball in the air is 
.
(c)
The horizontal distance .
Substitute .
.
The horizontal distance travelled the ball is 
.
(d)
The maximum height occurs at the vertex of the quadratic function.
.
Substitute 
in .
.
The maximum height is 
.
(e)
The equations are and .
Graph the equations and .
(a) The parametric equations that model the position of the ball as a function of time is and .
(b) The ball in the air is .
(c) The horizontal distance travelled the ball is .
(d) The maximum height is 
.
(e) Graph of the equations and .
.
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