An athelete completes 100m race in 10sec.He covers 5m in first second. 25m in next 3 sec ,50m in next 5sec and remaining distance in 1sec,Find
average velocity of the athelete
maximum velocity of the athelete. Also draw the distance time and velocity time graph of the motion of the athelete
Answers
Answer:
So the question is asking for an average. To find the average, add up all the numbers in a set, and then divide by how many numbers there are.
Before we can find that, need to figure out what “numbers” that we’re going to average. In this case it’s the racer’s speed described as ratio- meters per second. We’re given four speeds, so we know we’ll be dividing by four.
I’m not going to give away the full answer but this should help. The first value is 5 meters per 1 second, aka 5m/1s or just 5. Then we have 25/3 and 50/5. The last one is a little tricky because they don’t tell you how many meters he ran in the last second. But we already know he ran 5+25+50 meters. How many meters were left in the 100m race? That’s for you to find out, so we’ll call that number x.
Then to find the average you’ll just do this calculation:
(5 + 25/3 + 50/5 + x) / 4
Make sure you follow the order of operations and add up everything in the parenthesis first and you’re all set. :)
(Side note- it would have been more complicated if he hadn’t ran that last stretch in only 1 second. It wouldn’t have just been x, it would have been number of meters left/number of seconds.)
Explanation:
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