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EishaR
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- Homework Statement
- A repeating rifle fires 2 LR bullets such that as they travel down the barrel of the rifle their speed is given by v = (−5.00 ✕ 107)t2 + (2.80 ✕ 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.
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)=
x(t)=
(b)Determine the length of time the bullet is accelerated (in s).
(c) Find the speed at which the bullet leaves the barrel (in m/s).
(d) What is the length of the barrel (in m)?
- Relevant Equations
- y v = (−5.00 ✕ 10^7)t2 + (2.80 ✕ 10^5)t,
a) a= dv/dt = 2(5*10^5)t+2.8*10^5
2(5*10^5)(0)+2.8*10^5=2.8*10^5m/s^2
2(5*10^5)(0)+2.8*10^5=2.8*10^5m/s^2