At a football game, an air gun fires T-shirts into the crowd. The gun is fired at an angle of 40° from the horizontal with an initial speed of 28 m/s. A fan who is sitting 60 m horizontally from the gun, but high in the stands, catches a T-shirt.a. How long does it take for the T-shirt to reach the fan?A. 1.3 s B. 2.0 s C. 2.8 s D. 3.4 s E. 3.7 sb. At what height h is the fan from the ground?A. 3.2 m B. 4.3 m C. 6.6 m D. 9.2 m E. 12.0 m
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.
At a football game, an air gun fires T-shirts into the crowd. The gun is fired at an angle of 40° from the horizontal with an initial speed of 28 m/s. A fan who is sitting 60 m horizontally from the gun, but high in the stands, catches a T-shirt.
a. How long does it take for the T-shirt to reach the fan?
A. 1.3 s B. 2.0 s C. 2.8 s D. 3.4 s E. 3.7 s
b. At what height h is the fan from the ground?
A. 3.2 m B. 4.3 m C. 6.6 m D. 9.2 m E. 12.0 m
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