4. A robotic vehicle is exploring the surface of Mars. The robot, which is represented as a point, has x - and y- coordinates that vary with time: x = (3-2t); y = (-t² + 4t³) where x and y are in meters and t is in seconds. a. Find the average velocity of the robot between t = 0s and t = 2s. b. Find the average acceleration of the robot between t = 0s and t = 2s. c. At what time the acceleration of the robot will be zero.
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.
![4. A robotic vehicle is exploring the surface of Mars. The robot, which is represented as a point,
has x - and y-coordinates that vary with time: x = (3 − 2t); y = (-t² + 4t³) where
x and y are in meters and t is in seconds.
a. Find the average velocity of the robot between t = 0s and t = 2s.
b.
Find the average acceleration of the robot between t = 0s and t = 2s.
c. At what time the acceleration of the robot will be zero.
a. Vavg= -21 + 14ĵ m/s
b. davg = 22ĵ
C.
m
s²
2
t = = = 0.083 s
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