In: Physics
You drop a package from a plane flying at constant speed in a straight line. Without air resistance, the package will. (Hint: think about the velocity along the x direction, think about what type of motion you have along x direction).
A) quickly lag behind the plane while falling.
B) remain vertically under the plane while falling.
C) move ahead of the plane while falling.
D) not fall at all.
Ans : (B) Remain vertically under the plane while falling.
Explanation:
As the plane is moving in constant speed in a straight line and package was in the plane, the speed of the package will also be the same while it is inside the plane.Now when the package is dropped the horizontal speed of the package also be the same as the speed of the plane due to inertia of motion. So at the moment of release , the package will remain vertically under to plane while falling. So option (B) is correct.
other options are incorrect:
(A) At the moment of release , the speed of the package is same as the speed of plane , so it will not lag behind the plane at the moment of release. So this option is incorrect.
(C) Now , after release the package , there is no horizontal acceleration of the package , and due to gravity , it will fall to the ground , so it will not move ahead of the plane while falling. So this option is incorrect.
(D) Due to gravity the package will fall to the ground so this option is not correct.