An antique rifle fires 9 mm bullets such that as they travel down the barrel of the rifle their speed is given by v = (−5.45 ✕ 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.)   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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Q: The position of a particle is given by r(t) = (3.0 t2 ˆi+ 5.0 ˆj − 6.0 t ˆk) m. (d) What is its…

A: Given that

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Q: An object moving with uniform acceleration has a velocity of 11.0 cm/s in the positive × direction…

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Q: An object has position given by the vector r = [3.0m + (6.0m/s)t] i + [2.0m - (2.0m/s2)t2] j, where…

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Q: A particle moving vertically according to the equation of motion s(t) = gt + bt, where b > 0 and g…

A:

Q: A particle moving in the x-y plane has a velocity at time t = 5.25 s given by (3.9i+ 6.0j) m/s, and…

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Q: ht motion with a 384000 km is the closest distance between earth and moon. Assuming the shuttle's…

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Q: The position of a particle is 7(t) = (2.0t21-3.0t Jm.What is the magnitude of the acceleration (in…

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Q: A race car moves such that its position fits the relationship x = (6.0 m/s)t + (0.80 m/s³)t3 where x…

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Q: An object's position as a function of time in one dimension is given by the expression; 3.89t2 +…

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Q: A proton moves along the x axis according to the equation x = 54 t+ 11 t2, where x is in meters and…

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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.