A cannon on a flat railroad car travels to the east with its barrel tilted 30∘ above horizontal. It fires a cannonball at 50 m/s. At t= 0 s, the car, starting from rest, begins to accelerate to the east at 4.0 m/s2. At what time should the cannon be fired to hit a target on the tracks that is 360 m to the east of the car's initial position? Assume that the cannonball is fired from ground level.
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.
A cannon on a flat railroad car travels to the east with its barrel tilted 30∘ above horizontal. It fires a cannonball at 50 m/s. At t= 0 s, the car, starting from rest, begins to accelerate to the east at 4.0 m/s2. At what time should the cannon be fired to hit a target on the tracks that is 360 m to the east of the car's initial position? Assume that the cannonball is fired from ground level.
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