Why the magnitude of the velocity of a particle is equal to its speed?

Option (A): Speed is distance travelled in a given time and velocity is distance travelled along a direction in a given time. So, velocity without direction is equal to speed. Therefore, the magnitude of velocity of a particle is equal to its speed.

What is the magnitude of the velocity of the particle?

In one variable calculus, speed was the absolute value of the velocity. For vector calculus, it is the magnitude of the velocity. Let r(t) be a differentiable vector valued function representing the position of a particle. Then the speed of the particle is the magnitude of the velocity vector.

What is the relation between speed and magnitude of velocity?

Recall from Unit 1 of The Physics Classroom that speed and velocity refer to two distinctly different quantities. Speed is a scalar quantity and velocity is a vector quantity. Velocity, being a vector, has both a magnitude and a direction. The magnitude of the velocity vector is the instantaneous speed of the object.

Are velocity and speed always the same?

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object’s movement. For example, 50 km/hr (31 mph) describes the speed at which a car is traveling along a road, while 50 km/hr west describes the velocity at which it is traveling.

What is the slope of velocity time graph for retarded motion?

What does the slope represent on a velocity graph? The slope of a velocity graph represents the acceleration of the object. So, the value of the slope at a particular time represents the acceleration of the object at that instant.

What is the formula for magnitude of velocity?

To calculate the magnitude of the velocity at any point in time, multiply the constant acceleration rate times the time difference and then add it to the initial velocity. As an example, if you dropped a rock off a cliff, its velocity increases by 32 feet per second, every second.

How is the speed related to the magnitude of velocity Mcq?

When an object is moving along a straight path, magnitude of average velocity is equal to the average speed. Therefore, numerical ratio of average velocity to average speed is one in a straight line motion. But, during curved motion, the displacement < distance covered, so the velocity < speed.

What is the magnitude of the velocity of a particle?

Mark the correct statements : (a) The magnitude of the velocity of a particle is equal to its speed. (a) The magnitude of the velocity of a particle is equal to its speed.

What is the magnitude of average velocity in an interval?

The magnitude of the average velocity in an interval is equal to its average speed in that interval.

What is the difference between magnitude of velocity and magnitude of displacement?

Answer Wiki. Magnitude of INSTANTANEOUS velocity of a particle is equal to its INSTANTANEOUS speed. Magnitude of Displacement is always less than or equal to Distance travelled under same duration.

Can the average velocity of a particle ever be zero?

(c) The average velocity of a particle is zero in a time interval. It is possible that the instantaneous velocity is never zero is the interval. (d) The average velocity of a particle moving on a straight line is zero in a time interval. It is possible that the instantaneous velocity is never zero in the interval.