1. You are playing hockey with the puck stationary on the ice at your feet. Your teammate, Alice, initially at rest, makes a break for the goal. When she starts to move, you pass Alice the puck so that it moves with constant velocity to reach her 3 seconds later and she scores! After the game, you start to wonder how fast you passed the puck to reach her at the right time to score. You estimate her acceleration was a = 1.5 m/s² at an angle of 04 = 70° with respect to the x-axis, and her initial position is FAO = (-10, 0, -2) (m). The coordinate system is shown below from the viewpoint of looking down on the rink. 2 puck (a) Write down the Alice's acceleration as a vector. I (b) Use the constant acceleration equations to calculate Alice's position, TA (t), and velocity, VA(t), at t = 3 s (when she recieves the puck). (c) Calculate the components of the velocity of the puck needed to reach Alice at t = 3 s.
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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