SOLUTION: When a rocket is 2 kilometers high, its moving vertically upward at a speed of 300 kilometers per hour. At that instant, how fast is the angle of elevation of the rocket increasing
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Question 389724: When a rocket is 2 kilometers high, its moving vertically upward at a speed of 300 kilometers per hour. At that instant, how fast is the angle of elevation of the rocket increasing as seen by an observer on the ground 5 kilometers from the launching pad. State the units of measurement.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
If is the height and the angle of elevation, then:
...(1)
....(2)
Differentiating (2) with respect to time:
Substituting for from (1):
= ...(2)
When :
=
=
=
=
Substituting this value in (2):
=
= AMP Parsing Error of [(1500 / (29 * 3600)) (rad/sec)]: Invalid function ')': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.
=
= AMP Parsing Error of [(5 / 348) (rad/sec)]: Invalid function ')': opening bracket expected at /home/ichudov/project_locations/algebra.com/templates/Algebra/Expression.pm line 70.
.
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