Concept explainers
The time at which the packet fell off the back ramp.
Explanation of Solution
Given: The speed of the airplane is
The angle is
The distance is
Formula used: Draw the diagram for the representation of the package when it fell off the ramp.
Write the expression for the distance in x direction.
Here,
Write the expression for the distance in y direction.
Here,
Write the expression for the x coordinate along the parabolic trajectory of the airplane.
Here,
Write the expression for the y coordinate along the parabolic trajectory of the airplane.
Here,
Substitute
Substitute
Simplify the above equation
Write the expression for the velocity component with respect to x axis.
Here,
Write the expression for the velocity component with respect to y axis.
At impact, the horizontal distance is
Write the expression for the distance to impact.
Simplify the above equation for
Substitute
Substitute
Solve the above equation using binomial expansion.
Calculation:
Substitute
Substitute
Substitute
Conclusion:
Thus, the time at which the packet fell off the back ramp is
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