Question

A runner runs the circuit twice with a length of 10 km in 1 hr. and 15 minutes.

What is the runner’s average speed?

What is the runner’s average velocity?

Answer 1

Given :-

• A runner runs the circuit twice with a length of 10 km in 1 hr. and 15 minutes.   What is the runner’s average speed  ,  What is the runner’s average velocity?

Solution :-

• First of all, let us find the average speed.

     → Total distance travelled = 2 × 10 = 20 km = 20,000 m

     → Time taken = 1 hr 15 min = 4500 s

    We know,

   Average speed = $\sf\frac{total \: distance \: travelled }{total \: time \: taken\\ }$

⇒ Average speed = $\sf\frac{20000}{4500}$ = 4.44 m/s

• Now, let us find the average velocity

   → Here, total displacement is 0, as the body starts at the same time and                      reaches the same point

   → Time taken = 4500 s

     We know,

     Average velocity = $\sf\frac{total \: displacement}{total \: time}$

  ⇒ Average velocity = 0/4500 = 0 m/s

∴ The average speed is 4.44 m/s and average velocity is 0m/s

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→ Sathvik :)