A repeating rifle fires 2 LR bullets such that as they travel down the barrel of the rifle their speed is given by v = (−5.10 ✕ 107)t2 + (2.70 ✕ 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.) a(t)=      m/s2 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

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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A repeating rifle fires 2 LR bullets such that as they travel down the barrel of the rifle their speed is given by
v = (−5.10 ✕ 107)t2 + (2.70 ✕ 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.)
a(t)=      m/s2
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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