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 1o7)t² + (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. (a) Determine the acceleration (in m/s³) 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 : - o is zero.) a(t) = m/s2 x(t) = (b) Determine the length of time the bullet is accelerated (in s). (e) Find the speed at which the bullet leaves the barrel (in m/s). m/s (d) What is the length of the barrel (in m)?

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 1o7)t² + (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. (a) Determine the acceleration (in m/s³) 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 : - o is zero.) a(t) = m/s2 x(t) = (b) Determine the length of time the bullet is accelerated (in s). (e) Find the speed at which the bullet leaves the barrel (in m/s). m/s (d) What is the length of the barrel (in m)?

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Description: A muzzle-loading rifle fires 22LR bullets such that as they travel down the barrel ofthe rifle their speed is given byv = (-4.50 x 1o7)t² + (2.75 x 105)t,where v is in meters per second and t is in seconds. The acceleration of the bullet justas it l

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

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.

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Question

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 1o7)t² + (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.
(a) Determine the acceleration (in m/s³) 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 : - o is
zero.)
a(t) =
m/s2
x(t) =
(b) Determine the length of time the bullet is accelerated (in s).
(e) Find the speed at which the bullet leaves the barrel (in m/s).
m/s
(d) What is the length of the barrel (in m)?

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