A useful rule of thumb in piloting is that if the heading from your airplane to a second airplane remains constant, the two airplanes are on a collision course. Consider the two airplanes shown in the figure(Figure 1). At time t=0, airplane 1 is at the location (X, 0) and moving in the positive y direction; airplane 2 is at (0, Y) and moving in the positive x direction. The speed of airplane 1 is v1. A) What speed must airplane 2 have if the airplanes are to collide at the point ( X, Y)? B) Assuming airplane 2 has the speed found in part A, calculate the displacement from airplane 1 to airplane 2, Δr⃗ =r⃗ 2−r⃗ 1Δ�→=�→2−�→1.
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 useful rule of thumb in piloting is that if the heading from your airplane to a second airplane remains constant, the two airplanes are on a collision course. Consider the two airplanes shown in the figure(Figure 1). At time t=0, airplane 1 is at the location (X, 0) and moving in the positive y direction; airplane 2 is at (0, Y) and moving in the positive x direction. The speed of airplane 1 is v1. A) What speed must airplane 2 have if the airplanes are to collide at the point ( X, Y)? B) Assuming airplane 2 has the speed found in part A, calculate the displacement from airplane 1 to airplane 2, Δr⃗ =r⃗ 2−r⃗ 1Δ�→=�→2−�→1.
Step by step
Solved in 5 steps
