A student wants to toss a textbook to his roomate who is leaning out of a window directly above him. He throws the book upwards with an initial velocity of 8.0 m/s. The roomate catches it while it is travelling at 3.0 m/s upward. A. How long was the book in the air? B. How far vertically did the book travel? C. Redo the problem, and have the roomate catch the book as it is travelling 3.0 m/s downward. What is the time and displacement now?
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.
2. A student wants to toss a textbook to his roomate who is leaning out of a window directly above him. He throws the book upwards with an initial velocity of 8.0 m/s. The roomate catches it while it is travelling at 3.0 m/s upward.
A. How long was the book in the air?
B. How far vertically did the book travel?
C. Redo the problem, and have the roomate catch the book as it is travelling 3.0 m/s downward. What is the time and displacement now?
3. A man is standing on the edge of a 20.0 m high cliff. He throws a rock vertically with an initial velocity of 10.0 m/s
A. How high does the rock go? (Remember that at its max height v = 0 m/s)
B. How long does it take to reach it max height?
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