Problem 4: A rocket starts from rest at the origin. The rocket accelerates up an inclined plane of with an angle 0 = 35.0°, a length L = 200 m, and an acceleration a = 1.25 m/sec². At a time t the rocket reaches the top of the inclined plane at the location (x, y) with a speed v. See the figure below. a) What is x? Answer: 163.8 m. b) What is y? Answer: 114.7 m. c) What is v₂, the x-component of the rocket at the top of the inclined plane? Answer: 18.3 m/sec. d) What is vy, the y -component of the rocket at the top of the inclined plane? e) Answer: 12.8 m/sec. y t=0 Xo = 0 Yo = Vo = 0 t x = ? y = ? Vx =? Vy =? a = 1.25 m/sec² L = 200 m X

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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.