The speed of a bullet as it travels down the barrel of a rifle toward the opening is given by v 5 (25.00 3 107)t 2 1 (3.00 3 105)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 and position of the bullet as functions of time when the bullet is in the barrel. (b) Determine the time interval over which the bullet is accelerated. (c) Find the speed at which the bullet leaves the barrel. (d) What is the length of the barrel?
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.
The speed of a bullet as it travels down the barrel of a
rifle toward the opening is given by
v 5 (25.00 3 107)t 2 1 (3.00 3 105)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 and
position of the bullet as functions of time when the
bullet is in the barrel. (b) Determine the time interval over which the bullet is accelerated. (c) Find the
speed at which the bullet leaves the barrel. (d) What
is the length of the barrel?
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