A plane flies horizontally at an altitude h = 4 km with a horizontal speed of 540 km/h; it launches, without speed relative to the plane, a bomb. The pilot intends to bombard an immobile target, ahead on the ground. To study the motion of the bomb, we consider the system (x0y) of origin O representing the position of the plane at the instant of launching of the bomb as shown in the adjacent figure. We neglect air resistance. Given g = 9.8 m/s.
A plane flies horizontally at an altitude h = 4 km with a horizontal speed of 540 km/h; it launches, without speed relative to the plane, a bomb. The pilot intends to bombard an immobile target, ahead on the ground. To study the motion of the bomb, we consider the system (x0y) of origin O representing the position of the plane at the instant of launching of the bomb as shown in the adjacent figure. We neglect air resistance. Given g = 9.8 m/s.
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What is the soulation of number 4 , 5 and 6
Transcribed Image Text:Homework
3- Plane bombarding a target
A plane fles horizontally at an altitude h = 4 km with a horizontal speed
of 540 km/h; it launches, without speed relative to the plane, a bomb. The
pilot intends to bombard an immobile target, ahead on the ground.
To study the motion of the bomb, we consider the system (xOy) of origin O
representing the position of the plane at the instant of launching of the bomb
as shown in the adjacent figure. We neglect air resistance. Given g = 9.8
m/s.
h
target
ground
1)Determine the launching speed of the bomb.
2)Determine the parametric equations of motion of the bomb.
3)At what distance « d »from the target should the pilot launch the bomb?
4) Determine the direction and the magnitude of the velocity vector of the bomb at the point of impact
with the target.
5)Determine the position of the plane at the instant of hitting the target.
6)Precise, with justification, the trajectory of the bomb with respect to the pilot.
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