Chapter-3(Motion in a Straight Line)

Relative Velocity

Relative velocity is a measurement of velocity of an object with respect to other observer. It is defined as the time rate of change of relative position of one object with respect to another. Case-I : When the two objects move with same velocity in the same direction. Since, VA = VB ⇒VA-VB=0, then the […]

Stopping Distance For A Vehicle and Reaction Time

Stopping Distance For A Vehicle When breaks are applied to a moving vehicle, the distance it travels before coming to halt is called stopping distance. Its value depends upon the speed at which the vehicle is running and the efficiency of the breaking system. Let the distance travelled by the vehicle before it stops be

Kinematic Equations For Uniformly Accelerated Motion

If an object moves along a straight line with a constant acceleration a. Let u be the initial velocity at t = 0 and v be the final velocity of the object after time t. (I) Velocity-Time Relation The slope of velocity-time graph, gives the acceleration of the object. (II) Position-Time Relation The area under

Position-Time Graph: Acceleration

(I) Positive Acceleration When distance covered by a moving object goes on increasing with time, the object is said to be have positive acceleration. (II) Negative Acceleration When distance covered by a moving object goes on decreasing with time, the object is said to be have negative acceleration. (III) Zero Acceleration When the moving object

Acceleration

The existence of acceleration was given by Galileo in his different thoughts. Acceleration of a body can be expressed as the rate of change of velocity with time. By acceleration, we can understand that how fast or slow the velocity of an object is changing. Acceleration is a vector quantity. Its SI unit is m/s²

Instantaneous Speed And Instantaneous Velocity

Instantaneous Speed Speed at an instant is defined as the limit of the average speed as the time interval (∆t) becomes infinitesimally small or approaches to zero. Instantaneous Velocity Velocity at an instant is defined as the limit or average velocity as the small time interval (∆t) becomes infinitesimally small or approaches to zero. NCERT

Average Speed And Average Velocity

Average Speed Average speed of an object is defined as the total distance travelled by the object divided by the total time take. Average Velocity Average velocity of an object is define as the change in position or displacement(∆x) divided by the time interval(∆t) in which the displacement occur. Let a body is moving along

Speed And Velocity

Speed The distance covered by an object divided by the time taken by the object to cover that distance is called the speed of that object. It is a scalar quantity. Its SI unit is m/s and dimensional formula is [M⁰LT⁻¹]. Uniform Speed If an object covers equal distance in equal interval of time, then

Uniform Motion In A Straight Line

A body is said to be in a uniform motion if it travels equal distance in equal intervals of time along a straight line. A distance(x) Vs time(t) graph for uniform motion is a straight line. The nature of position-time graph of an object in the following cases are- (I) When Object Is Stationary Let

Point Object, Position, Path Length and Displacement

An object is considered as a point object if the size of the object is much smaller than the distance it moves in a reasonable duration of time. Example:- A train under a journey of several 100 KM can be considered as a point object. Position, Path Length and Displacement Position It is define as

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