Question

A car moving on a straight path covers a distance of 1 km due east in 100 Sec. Its velocity is

Answer 1

Answer:

10 m/s due east

Explanation:

As per the provided information information in the given question, we have :

• Distance covered (s) = 1 km
• Time taken (t) = 100 s

We are asked to calculate its velocity (v).

In order to calculate the velocity of the car, firstly we need to calculate the displacement and the time taken.

Time taken has been given to us in the question that is, 100 seconds. So, we need to find the displacement. As the car is moving on a straight path in a single direction, so the distance covered by the car will be equal to the displacement.

Here,

$\longmapsto\rm {Displacement = Distance }$

$\longmapsto\rm {s = 1 \; km \; due \; east }$

$\longmapsto\bf {s = 1000 \; m \; due \; east }$

Now, we have to calculate the velocity. Velocity is defined as distance covered in specific direction (displacement) divided by time. It is denoted by v. It is a vector quantity that means it requires both magnitude and direction.

As we know that,

$\longmapsto\bf {v = \dfrac{s}{t} }$

• v denotes velocity
• s denotes displacement
• t denotes time

$\longmapsto\rm {v = \dfrac{1000 \; m \; due \; east}{100 \; s} }$

$\longmapsto\bf {v = 10 \; ms^{-1} \; due \; east }$

∴ Its velocity is 10 m/s due east.