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Chapter 2: Problem 7

A body moves with uniform speed of \(\mathrm{u} \mathrm{m} \mathrm{s}^{-1}\) towards east, then the body is said to possess _ velocity.

Short Answer

Expert verified
Answer: The body possesses a velocity of \(v = u\:\text{East}\).

Step by step solution

01

Understand the terms - Speed and Velocity

Speed is a scalar quantity that represents the rate of change in position of an object. It has only magnitude and no direction. On the other hand, velocity is a vector quantity that represents both speed and direction of an object's motion.
02

Define Uniform Speed

A uniform speed means that the object is moving with constant speed, i.e., it does not change its speed over time.
03

Calculate Velocity

Now that we know the uniform speed is \(u\:m/s\) towards the East, let's define the velocity vector. The velocity vector has a magnitude equal to the speed and points in the direction of the object's motion, which is East. So the velocity vector can be written as \(v = u\:\text{East}\)
04

Conclusion

A body moving with a uniform speed of \(\mathrm{u} \mathrm{m} \mathrm{s}^{-1}\) towards the East is said to possess a velocity of \(v = u\:\text{East}\).

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