SpaceX rocket acceleration is expressed as a function of time given as a = bt, where b is a positive constant. (a) Find position function x(t). And (b) Find the postion and velocity at t = 5 sec. if x = 0, and v = 0 at t = 0 and b = 3 m/s3.
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.
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1. SpaceX rocket acceleration is expressed as a function of time given as a = bt, where b is a positive constant. (a) Find position function x(t). And (b) Find the postion and velocity at t = 5 sec. if x = 0, and v = 0 at t = 0 and b = 3 m/s3.
2. A particle travels with velocity v = (8 m/s2) t - 7 m/s. (a) Find the average acceleration for two 1-s intervals, one beginning at t = 3 s and the other beginning at t = 4 s. And (b) Sketch v versus t. (c) What is the instantaneous acceleration at any time?
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