1. A body moves along the x-axis. Its position is expressed in the given equation with respect to time: x = -4t + 2t2. With the given time intervals of t = 0 to t = 1 s and t = 1 s to t =3 s, find the body’s a) displacement b) average velocity and c) instantaneous velocity at t =2.5 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.
1. A body moves along the x-axis. Its position is expressed in the given equation with respect to time: x = -4t + 2t2. With the given time intervals of t = 0 to t = 1 s and t = 1 s to t =3 s, find the body’s a) displacement b) average velocity and c) instantaneous velocity at t =2.5 s.
2. A military jet lands on an aircraft carrier at a speed of 160 miles per hour. The aircraft carrier uses an arresting cable to decelerate the aircraft. a) Determine the constant acceleration at t = 2 s when it came to rest. b) At xi = 0 the jet touches down, what is the final position of the jet plane.
3. Two stones are hurled vertically from the ground, one with three times the initial velocity of the other. (a) If the faster stone takes 10 s to return to the ground, how long will it take for the
slower stone to return? (b) How high is the faster stone going to be, if the slower stone reaches a maximum height of H? Suppose a free fall.
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