Question 1: A snowboarder starts from rest at the top of a double black diamond hill. As she rides down the slope, GPS coordinates are used to determine her displacement as a function of time given by the image below, where x and t are expressed in feet and seconds, respectively. Determine the position, velocity, and acceleration of the boarder when t=5 seconds. Write your answer in the format (x= ft ;v = - ft/s ; a = ft/s^2) X = 0.5t3 + t2 + 2t Your answer
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.
![Question 1: A snowboarder
starts from rest at the top of a
double black diamond hill. As
she rides down the slope, GPS
coordinates are used to
determine her displacement
as a function of time given by
the image below, where x and
t are expressed in feet and
seconds, respectively.
Determine the position,
velocity, and acceleration of
the boarder when t=5
seconds. Write your answer in
the format (x=
ft ;v =
ft/s ; a =
ft/s^2)
X =
0.5t3 + t2 + 2t
Your answer](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff852676a-a1e5-4442-88c3-9daece56586f%2F4c42cd9a-db39-4bec-a7fe-fbdec04b0b66%2Fg4b1pn3a_processed.jpeg&w=3840&q=75)
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