Two small children are riding toward each other along the x axis on their tricycles. At time t = 0 the first child is located at the origin and travels with a constant speed v₁ in the +x direction. Also at t = 0 the second child starts from rest at x = d and accelerates in the - direction with acceleration ax (t) = -c₁t, where c₁ is a positive constant. (i) Derive an equation that could be solved to find the time at which the two children collide. (ii) If the time of impact in part (i) is denoted by t*, how fast will the second child be traveling at the time of impact?
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.
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