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. Starting from rest, a bullet train acquires a velocity of 200 km/h during 20 seconds. What is the acceleration of the bullet train in m/s2?
2. A tricycle starting from rest is accelerated 10 m/s2. How far will it travel after 10 seconds?
3. An object was released from rest at a certain height. It took the object 5 seconds to reach the ground. From what height was it released?
4. A ball is thrown upward and returns to the ground 8 seconds later.
a. With what velocity was the ball thrown?
b. How high did the ball go?
5. A balloon rising vertically with a velocity of 5 m/s releases an object from a height of 100 m,
a. How many seconds after its release will the object reach the ground?
b. At what velocity will the object reach the ground?
6. A bus is traveling with a uniform velocity of 20 m/s. At the instant it passes a car at rest the car starts to accelerate at 4 m/s2 in the same direction as the velocity of the bus.
a. After how many seconds will the car overtake the bus?
b. How far will the car travel before overtaking the bus?
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