HP 35s Instruction Manual page 2

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HP 35s General applications – part 3
General applications
This training aid will illustrate the application of the HP 35s calculator to several problems in other areas. These
examples are far from exhaustive, but do indicate the incredible flexibility of the HP 35s calculator.
Practice solving problems
Application 1: True Heading
Example 1: Before a plane takes off, a preflight plan must be filed indicating the proposed trip. In these plans, the
known data are true course (TC), wind direction (WD), wind velocity (WV) and true air speed (TAS). Find
the true heading of a planned flight, if TC = 80 degrees, WV = 55 mph, TAS = 180 mph, and the WD is
toward 95 degrees.
The true heading = TC – ASIN ( WV x SIN ( WD – TC ) / TAS )
Solution: Place the 35s into degrees mode by pressing 91
In RPN mode:
In algebraic mode:
Answer: 75.46 degrees.
Application 2: Thrown object
Example 1: If a ball is thrown straight upward with a velocity of 95 feet per second, what is the velocity and height of the
object after 2 seconds? Use a value of 32.2 feet per second per second for g.
Velocity = Original Velocity – g x time
Height = Original Velocity x time – ½ x g x t
Solution: In RPN mode:
In algebraic mode:
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80Ï55Ï95Ï80Ãk180¯
¸ºiÃ
80úi55¸k95Ã80Õ¯180
Ï
2
95Ï32Ë2Ï2¸Ã
95Ï2¸0Ë5Ï
32Ë2¸2º=Ã
95Ã32Ë2¸2Ï
95¸2Ã0Ë5¸
32Ë2¸º=2Ï
- 2 -
Figure 1
(Velocity at t = 2 seconds)
(Height at t = 2 seconds)
(Velocity at t = 2 seconds)
(Height at t = 2 seconds)
HP 35s General applications – part 3- Version 1.0