:A 7500 kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.25 m/s2 and feels no appreciable air resistance. When it has eached a height of 525 m, its engines suddenly fail so that the only force acting on is now gravity. What is the maximum height the rocket will reach above the launch pad? How much time after engine failure will elapse before the rocket crashes on the launch pad? What is the total time the rocket spends in the air? How fast will the rocket be moving when it crashes?
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.
![7: A 7500 kg rocket blasts off vertically from the launch pad with a constant upward
acceleration of 2.25 m/s2 and feels no appreciable air resistance. When it has
reached a height of 525 m, its engines suddenly fail so that the only force acting on
it is now gravity.
a) What is the maximum height the rocket will reach above the launch pad?
b) How much time after engine failure will elapse before the rocket crashes on
to the launch pad?
c) What is the total time the rocket spends in the air?
d) How fast will the rocket be moving when it crashes?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb3dca1d-57a3-4839-be8e-2a543baf6bdb%2F8b63f6c4-28ce-4654-9563-bf65b236a187%2Fu0tc3ko_processed.png&w=3840&q=75)
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