Kinematics of a Particle

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What is kinematics of a particle primarily concerned with?

The description of motion without considering the causes

What is the assumption made about a particle in the kinematics of a particle?

It is a point mass, meaning its size and shape are not factors

What type of motion occurs when all points of an object move along parallel straight paths?

Rectilinear motion (Linear Motion)

What is the significance of understanding kinematics in civil engineering?

Designing efficient traffic systems and road layouts

What type of motion is described as motion along a curved path?

Curvilinear motion

What type of motion occurs when all body parts move in the same direction and by the same distance?

Translational motion

What aspect of structures is analyzed in earthquake engineering using kinematics?

Displacement, velocity, and acceleration

In the context of hydraulic engineering, what is the role of kinematics?

To understand the motion of water and its impact on structures

What is the primary focus of kinematics in the context of projectile motion?

To predict the path and behavior of moving objects

What is the assumption made about the elevator's motion in the example of elevator motion in a building?

Uniform acceleration

What is the sequence of phases in the elevator motion example?

Acceleration, constant speed, deceleration

What is the final state of the elevator in the example of elevator motion in a building?

Decelerating to a stop

What is the equation for final velocity in terms of initial velocity, acceleration, and time?

v = u + at

What does the equation s = ut + at^2 represent?

Displacement in terms of initial velocity and acceleration

What is the purpose of the equation v^2 = u^2 + 2as?

To eliminate time from the equation

When is the equation v = u + at typically used?

When time is a known variable

What is the acceleration of the car in the sample problem?

3 m/s²

What is the final velocity of the car in the sample problem?

15 m/s

What is the displacement of the cyclist in 4 seconds, if it accelerates at 2 m/s² from rest?

16 m

What is the condition for using the equation s = ut + at/2?

The time duration of motion is given and the object has a constant acceleration.

What is the acceleration of the skateboarder, if it travels 20 meters down a slope in 4 seconds, starting from rest?

2.5 m/s²

What is the condition for using the equation s = (u+v)t/2?

Time is known, and both initial and final velocities are given.

How far does the train travel in 5 seconds, if it speeds up from 10 m/s to 30 m/s?

100 m

What is the initial velocity of the cyclist, if it accelerates at 2 m/s² for 4 seconds?

0 m/s

What is the acceleration due to gravity in free falling bodies, air resistance neglected?

9.81 m/s²

What happens when the pushing force on an object stops?

The object comes to rest

What is the formula for the final velocity of an object under constant acceleration?

v = u + at

What is the time to reach the highest point of a thrown stone in free fall?

Half the total time

What is the formula for the displacement of an object under constant acceleration?

s = ut + at²

Why does a stationary object remain stationary on a desk?

Because there is no net force acting on it

This quiz covers the basics of kinematics, focusing on the description of motion without considering its causes. It deals with the key concepts of position, velocity, and acceleration of a particle.

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