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Concept explainers
To Calculate: Angle (to the horizontal) at which the car should be in sights when the packet is released.
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Answer to Problem 65GP
The car should be in sights at an angle of
Explanation of Solution
Given:
Velocity of the helicopter
Velocity of car
Vertical distance between helicopter and car
Formula used:
The following
Where,
Where,
Horizontal angle is given by,
Where,
Calculation:
The altitude of the helicopter is taken as origin. Displacement of the package,
Time of flight for the package is calculated as:
Therefore, time of flight for the package is 3.99 seconds.
The difference in horizontal speed of the helicopter and the car is calculated as:
This gives the frame of reference in which the car is at rest. Therefore, the helicopter moves with a relative speed of 16.67 m/s.
Horizontal distance travelled by the package, relative to the stationary car is calculated as:
Therefore, the angle at which the package must be released is calculated as:
Conclusion:
The car should be in sights at an angle of
Chapter 3 Solutions
Physics: Principles with Applications
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