First, you will investigate purely vertical motion. The kinematics equation for vertical motion (ignoring air resistance) is given by y(t)=y0+v0t−(1/2)gt2y(t)=y0+v0t−(1/2)gt2, where y0=0y0=0 is the initial position, v0v0v_0 is the initial speed, and ggg is the acceleration due to gravity. Drag the cannon downwards so it is at ground level, or 0 mm (which represents the initial height of the object), then fire the pumpkin straight upward (at an angle of 90∘90∘) with an initial speed of 14 m/sm/s. How long does it take for the pumpkin to hit the ground?
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.
First, you will investigate purely vertical motion. The
y(t)=y0+v0t−(1/2)gt2y(t)=y0+v0t−(1/2)gt2,
where y0=0y0=0 is the initial position, v0v0v_0 is the initial speed, and ggg is the acceleration due to gravity.
Drag the cannon downwards so it is at ground level, or 0 mm (which represents the initial height of the object), then fire the pumpkin straight upward (at an angle of 90∘90∘) with an initial speed of 14 m/sm/s.
How long does it take for the pumpkin to hit the ground?
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