Question

On a 1000 m track, a man moves the first 500 m with a uniform speed of 500 m/s. How fast must he travel the next 500 m so as to average speed becomes 600 m/s for the entire trip?

Answer 1

Explanation:

answer= 0.66m/s.....hope u will understand

Thank you

Answer 2

Answer:

The total distance travelled = 1000 m.

The first half distance is travelled with the speed = 500 m/s.

The average speed = 600 m/s.

We need to find the speed of the second half distance.

We know, Time = Distance/Speed

⇒ Time = 500/500

⇒ Time = 1 s

We know that, Average Speed = Total Distance/Total Time.

⇒ 600 = 1000/1+t2

⇒ 600 + 600t2 = 1000

⇒ 600t2 = 1000 - 600

⇒ 600t2 = 400

⇒ t2 = 400/600

⇒ t2 = 0.667 s

So, the speed for the second half distance = Distance/Time.

⇒ Speed = 500/0.667

⇒ Speed = 749.6

⇒ Speed = 750 m/s

Hence, the speed for the second half distance so that the average speed becomes 600 m/s is 750 m/s.