A muzzle-loading rifle fires 22LR bullets such that as they travel down the barrel of the rifle their speed is given by v = (-4.50 x 107)t?+ (2.75 x 105)t, where v is in meters per second and t is in seconds. The acceleration of the bullet just as it leaves the barrel is zero. (ə) Determine the acceleration (in m/s?) and position (in m) of the bullet as a function of time when the bullet is in the barrel. (Use the following as necessary: t. Round all numerical coefficients to at least three significant figures. Do not include units in your answers. Assume that the position of the bullet at t= o is zero.) a(t) m/s? x(t) = E
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 muzzle-loading rifle fires 22LR bullets such that as they travel down the barrel of
the rifle their speed is given by
v = (-4.50 x 107)t?+ (2.75 x 105)t,
where v is in meters per second and t is in seconds. The acceleration of the bullet just
as it leaves the barrel is zero.
(ə) Determine the acceleration (in m/s?) and position (in m) of the bullet as a
function of time when the bullet is in the barrel. (Use the following as necessary:
t. Round all numerical coefficients to at least three significant figures. Do not
include units in your answers. Assume that the position of the bullet at t= o is
zero.)
a(t)
m/s?
x(t) =
E](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4a60a13-3dd5-47a5-8858-99c3cd62d3fe%2F4ab0c3a4-d932-4038-975a-902c3181145d%2F4owhjf.jpeg&w=3840&q=75)
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