(a) How long is the rocket in motion above the ground? (b) What is its maximum altitude? (c) What is its velocity just before it collides with the Earth?
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 test rocket is fired vertically upward from a well. A catapult gives it an initial speed of 80.0 m/s at ground level. Its
engines then fire and it accelerates upward at 4.00 m/s2
until it reaches an altitude of 1 000 m. At that point its engines fail and the rocket goes into free fall, with an acceleration of # 9.80 m/s2. (a) How long is the rocket in motion
above the ground? (b) What is its maximum altitude?
(c) What is its velocity just before it collides with the
Earth? (You will need to consider the motion while the engine is operating separate from the free-fall motion.)
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