Projectile Motion A projectile is launched with an initial velocity of 120 feet per second at a height of 5 feet and at an angle of
(a) Determine the vector-valued function for the path of the projectile.
(b) Use a graphing utility to graph the path and approximate the maximum height and range of the projectile.
(c) Find
(d) Use a graphing utility to complete the table.
t |
0.5 |
1.0 |
1.5 |
2.0 |
2.5 |
3.0 |
Speed |
(e) Use a graphing utility to graph the scalar functions
(a)
To calculate: The vector-valued function for the path of the projectile.
Given:
Formula used:
Calculation:
The path of the projectile of a vector-valued function is given by,
(b)
To graph: The path of the projectile and approximate maximum height and range of projectile of given function.
(c)
To calculate: The values of
(d)
To calculate: The values to complete the table.
(e)
To graph: The scalar functions
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