An antique rifle fires 9 mm bullets such that as they travel down the barrel of the rifle their speed is given by v = (-4.75 x 107)t² + (2.20 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/s2) 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 = 0 is zero.) m/s² a(t) = x(t) (b) Determine the length of time the bullet is accelerated (in s). S m (c) 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)? m

College Physics
11th Edition
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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An antique rifle fires 9 mm bullets such that as they travel down the barrel of the rifle their speed is given by
v = (-4.75 x 107)t² + (2.20 × 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/s²) 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 = 0 is zero.)
m/s²
a(t) = =
x(t)
m
(b) Determine the length of time the bullet is accelerated (in s).
S
(c) 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)?
m
Transcribed Image Text:An antique rifle fires 9 mm bullets such that as they travel down the barrel of the rifle their speed is given by v = (-4.75 x 107)t² + (2.20 × 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/s²) 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 = 0 is zero.) m/s² a(t) = = x(t) m (b) Determine the length of time the bullet is accelerated (in s). S (c) 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)? m
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