A body to which a certain initial velocity has been reported moves uniformly accelerated. In the third second of its movement it passed 10m, and in the sixth - 16m. Determine the acceleration of the body, the initial speed, the speed at the end of the eighth second and the path covered in 8 s. Тело, которому известна определенная начальная скорость, движется равномерно ускоренным. На третьей секунде своего движения он прошел 10 метров, а на шестой - 16 метров. Определите ускорение тела, начальную скорость, скорость в конце восьмой секунды и пройденный путь за 8 с.
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 body to which a certain initial velocity has been reported moves uniformly accelerated. In the third second of its movement it passed 10m, and in the sixth - 16m. Determine the acceleration of the body, the initial speed, the speed at the end of the eighth second and the path covered in 8 s.
Тело, которому известна определенная начальная скорость, движется равномерно ускоренным. На третьей секунде своего движения он прошел 10 метров, а на шестой - 16 метров. Определите ускорение тела, начальную скорость, скорость в конце восьмой секунды и пройденный путь за 8 с.
The formula for the distance traveled by a body in nth second is:
Use the above expression for the motion of the body in the third second.
Use the expression for motion of the body in the sixth second.
Subtract equation (2) from equation (1).
Use the equation (1) and substitute the value of acceleration to determine the initial velocity of the body.
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