A muzzle-loading rifle fires 22LR bullets such that as they travel down the barrel of the rifle their speed is given by v= (-5.25 x 10')² + (2.40 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/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= 0 is zero.) a(e) = -10.5- 107+2.4 · 10³ m/s? x(e) = -1.75- 107,3 + 1.2 · 10°? (b) Determine the length time the bullet is accelerated (in s). 2.3'10"-3 (c) Find the speed at which the bullet leaves the barrel (in m/s). 274 29 v m/s (d) What is the length of the barrel (in m)? 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= (-5.25 x 10')² + (2.40 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/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= 0 is zero.) a(e) = -10.5- 107+2.4 · 10³ m/s? x(e) = -1.75- 107,3 + 1.2 · 10°? (b) Determine the length time the bullet is accelerated (in s). 2.3'10"-3 (c) Find the speed at which the bullet leaves the barrel (in m/s). 274 29 v m/s (d) What is the length of the barrel (in m)? m
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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Transcribed Image Text:A muzzle-loading rifle fires 22LR bullets such that as they travel down the barrel of the rifle their speed is given by
v = (-5.25 x 107)t² + (2.40 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/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 = 0 is zero.)
a(t) = -10.5- 10't+ 2.4·105
m/s?
–1.75·1073.
+ 1.2·1052
x(t) =
m
(b) Determine the length of time the bullet is accelerated (in s).
2.3*10**-3
(c) Find the speed at which the bullet leaves the barrel (in m/s).
274.29
V m/s
(d) What is the length of the barrel (in m)?
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