Name: Pendulum: Measurement of Time
Uploaded: 2019-07-19
Duration: 3 min 15 s
Description: Machines have made our lives simple by reducing our effort. How are machines classified? What are some simple machines we use in everyday life? Let's explore.

Question

In a race, two athletes A and B reach the finishing point in

20

second and

22

second, respectively.
If both are allowed to run with their respective speeds for a given time, what is the ratio of the distance covered by them?

Accepted Answer

Speed is defined as the rate of motion. It is the distance covered by a body in a given interval of time. Speed $(v)$ is calculated as :

$v = \frac{d}{t}$

Where, $d$ is the distance travelled by the object in time $t$ .

If both athletes A and B are allowed to run with their respective speeds for a given time, the ratio of the distance covered :

Given,

Let the distance travelled by the two athletes A and B is $d$ .

The time taken by athletes A is $t_{A} = 20 s$

Let the speed of athletes A be $v_{A}$

The time taken by athletes B is $t_{B} = 22 s$

Let the speed of athletes B be $v_{B}$

$v_{A} = \frac{d}{t_{A}} v_{B} = \frac{d}{t_{B}}$

If both athletes A and B are allowed to run with their respective speeds for a given time, the ratio of the distance covered :

Let the time taken be $t$ .

Let the distance of athletes A be $d_{A}$ .

Let the distance of athletes B be $d_{B}$ .

$d_{A} = v_{A} \times t d_{A} = \frac{d}{20} \times t d_{B} = \frac{d}{22} \times t \frac{d_{A}}{d_{B}} = \frac{\frac{d}{20} \times t}{\frac{d}{22} \times t} = \frac{22}{20} = \frac{11}{10}$

Therefore, if both athletes A and B are allowed to run with their respective speeds for a given time, the ratio of the distance covered is $11 : 10$ .

S No	Time ( $s$ )	Distance ( $m$ )
1	0	0
2	1	5
3	2	10
4	3	15
5	4	20
6	5	25
7	6	30

Subject Experts Solutions for Chapter: Kinematics, Exercise 1: PRACTICE QUESTIONS (CLASSROOM WING)

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