A cheetah is chasing an impala for lunch. The cheetah is found at the positions along the +x axis at 100, 200, 280, 340, and 380 m when a stopwatch reads t = 20.0, 30.0, 40.0, 50.0, and 60.0 s, respectively. (a) Calculate the average velocity of the cheetah during each10.0 s interval. (b) Make a plot of the x-t diagram. (c) Is it reasonable to conclude that the instantaneous acceleration is constant during the interval from t = 20.0 s to 60.0 s?
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 cheetah is chasing an impala for lunch. The cheetah is found at the positions along the +x axis at 100, 200, 280, 340, and 380 m when a stopwatch reads t = 20.0, 30.0, 40.0, 50.0, and 60.0 s, respectively. (a) Calculate the average velocity of the cheetah during each10.0 s interval. (b) Make a plot of the x-t diagram. (c) Is it reasonable to conclude that the instantaneous acceleration is constant during the interval from t = 20.0 s to 60.0 s? (d) If you assume the instantaneous acceleration is constant, find ax. (e) Assume that also is constant for a time less than 20.0 s and greater than 60.0 s. Find vx0and x0. (f) Find x(t). (g) At what time will the exhausted cheetah come to rest if the data trend continues? (h) Where does the cheetah come to rest?
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(f) Find x(t). (g) At what time will the exhausted cheetah come to rest if the data trend continues? (h) Where does the cheetah come to rest?
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