Question

A jogger moves 500m in 2 minutes and next 1000m in 30s on the same straight path . What his average speed and average velocity

Answer 1

total distance = 1500m
total time = 150 sec

ave speed = ave velocity because the person is moving straight

= 1500/150 ms
= 10 m/s

Answer 2

▓▓▓ GIVEN ▓▓▓

A jogger moves 500 m in 2 minutes and next 1000 m in 30 seconds on the same straight path.

▓▓▓ TO FIND ▓▓▓

The average speed and the average velocity of the jogger.

▓▓▓ FORMULAS TO BE USED ▓▓▓

▪ Average speed = Total distance covered/Total time taken

▪ Average velocity = Overall displacement/Total time taken

▓▓▓ SOLUTION ▓▓▓

As the jogger moves in a straight path without taking any U-turns or changing its direction, so displacement = distance.

⇒Displacement/Time = Distance/Time

⇒Velocity = Speed

⇒Average velocity = Average speed

$\rule{150}2$

Now,

◙ Total length of the path covered = 500 + 1000 = 1500 m

◙ Total time taken = (2 × 60) + 30 = 120 + 30 = 150 s

Average velocity = Average speed = 1500/150

⇒Average velocity = Average speed = 10 m/s

Therefore, the average speed of the jogger is same as the average velocity of the jogger, that is 10 m/s.