Question

Q1- An athlete completes 100m race in 10s. He covers 5 m in first second, 25 m in next 3s, 50 m in next 5s and remaining distance in Is. Find

(a) average velocity of the athlete.

(b) maximum velocity of the athlete. Also draw the distance-time and velocity-time graphs of the motion of the athlete.​

Answer 1

Step-by-step explanation:

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.