A car covers AB distance with first one-third at velocity v1 ms–1, second one-third at v2 ms–1 and last one-third at v3 ms–1. If v3 = 3v1, v2 = 2v1 and v1 = 11 ms–1 then the average velocity of the car is ____ ms–1.
The correct answer is 18
\(v_{mean} =\frac{3v_1v_2v_3}{v_1v_2+v_2v_3+v_3v_1}\)
\(=\frac{3×11×22×33}{11×22+22×33+33×11}\)
= 18 m/sec
An object has moved through a distance can it have zero displacement if yes support your answer with an example.
A bob of mass \(m\) is suspended at a point \(O\) by a light string of length \(l\) and left to perform vertical motion (circular) as shown in the figure. Initially, by applying horizontal velocity \(v_0\) at the point ‘A’, the string becomes slack when the bob reaches at the point ‘D’. The ratio of the kinetic energy of the bob at the points B and C is:
Kinematics is a branch of physics that deals with the study of motion, without considering the forces that cause the motion. It is concerned with the position, velocity, and acceleration of objects, as well as the time it takes for them to move from one point to another.
In kinematics, the motion of an object is represented using mathematical equations and graphs. The most common quantities used in kinematics are displacement, velocity, acceleration, and time.
Displacement refers to the change in position of an object, and it is represented by the symbol Δx. Velocity is the rate at which an object's position changes over time, and it is represented by the symbol v. Acceleration is the rate at which an object's velocity changes over time, and it is represented by the symbol a.
Also Read: Kinematics Formula
By analyzing the relationships between these quantities, kinematics can be used to predict the motion of objects in different situations. For example, kinematics can be used to calculate the maximum height reached by a projectile, the distance traveled by a car during a given time, or the time it takes for a rollercoaster to complete a loop.
Kinematics is used in many areas of physics, including mechanics, astrophysics, and robotics. It is also used in engineering, where it is used to design and optimize the motion of machines and vehicles.