Question

An Athlete completes 100 m race on a straight track. Calculate the distance and magnitude of displacement of athlete during the race.

please answer it wid explanation.​

Answer 1

$\Large {\underline { \sf {Clarification :}}}$

Here, we are given that an athlete completes 100 m race on a straight track. We have to find the distance and magnitude of displacement of athlete during the race.

Firstly let's understand what the displacement and distance mean.

$\underline{\textsf{\textbf{ Distance : }}}$

• Distance is the total path covered by a body irrespective of the direction in which it travels.
• It is a scalar quantity.
• Its SI unit it metre (m).

$\underline{\textsf{\textbf{ Displacement : }}}$

• Displacement is the shortest distance between the initial and the final position of path covered by the body.
• It is a vector quantity.
• Its SI unit it metre (m).

Now, coming to the question!

$\Large {\underline { \sf {Explication \: of \: Steps :}}}$

$\underline{\textsf{\textbf{ Calculating \: distance : }}}$

As we are given that the he/she completes 100 m race on a "straight track". So, his/her total distance is 100 m. 100 m is the total path covered by him/her.

$\underline{\textsf{\textbf{ Calculating \: displacement : }}}$

When the body moves on a straight path or track in only one direction, its displacement and distance is same. So, here direction of the body hasn't been changed, therefore displacement will be same as distance.

Displacement ⇒ 100 m