A spaceship starts at rest, and then launches vertically into the air with an upward acceleration of 4.0 m/s2. When it reaches a height of 1000 m, it runs out of fuel; after this point its acceleration is due to gravity, i.e. 9.8 m/s2 downward. (ignore air resistance) (1) For how much time (total, from launch) is the spaceship in the air? (2) What is the spaceship’s velocity just before it hits the ground?
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
A spaceship starts at rest, and then launches vertically into the air with an upward acceleration of 4.0 m/s2. When it reaches a height of 1000 m, it runs out of fuel; after this point its acceleration is due to gravity, i.e. 9.8 m/s2 downward. (ignore air resistance)
(1) For how much time (total, from launch) is the spaceship in the air?
(2) What is the spaceship’s velocity just before it hits the ground?
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