3. You are operating a remote-controlled model car on a vacant tennis court. Your position is the origin of coordinates, and the surface of the court lies in the xy-plane. The car, which we represent as a point, has x- and y- coordinates that vary with time according to x= 2.0 m – (0.25m/s²)t² _y= (1.0 m/s)t + (0.025 m/s')t a) Find the car's coordinates and its distance from you at time t = 2.0 s. b) Find the car's displacement and average velocity vectors during the interval from t-0 s to t = 2.0 s. c) Find the components of the average acceleration in the interval from t = 0s to t = 2.0 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.
![3. You are operating a remote-controlled model car on a vacant tennis court. Your position is
the origin of coordinates, and the surface of the court lies in the xy-plane. The car, which
we represent as a point, has x- and y- coordinates that vary with time according to
x= 2.0 m – (0.25 m/s²)t² y = (1.0 m/s)t + (0.025 m/s³)t³
a) Find the car's coordinates and its distance from you at time t= 2.0 s.
b) Find the car's displacement and average velocity vectors during the interval from
t = 0 s to t = 2.0 s.
c) Find the components of the average acceleration in the interval from t = 0 s to
t = 2.0 s.
%3!
A batter hits a baseball so that it leaves the bat with an initial speed v, = 37.0 m/s at an
initial angle 0, = 53.1", at a location. Find the following,
a) the position of the ball at t = 2.00 s
b) the magnitude and direction of its velocity, whent = 2.00 s
c) the time when the ball reaches the highest point of its flight
d) its maximum height,h
e) its horizontal range, R.
4.
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