Question

An athlete at the Olympic Games runs at constant speed and covers the 100yard dash in 9.52s what will be his time for 100metre distance running at the same speed

Answer 1

His time for 100 meter distance running at the same speed is 10.42 s.

Step-by-step explanation:

Given:

Distance covered in
`t_(0)=9.52` seconds,
`d_(0)=100` yd.

So, speed for running 100 yards is,
`v_(0)=\frac{\textrm{Distance}}{\textrm{Time}}=(100)/(9.52)=10.5`

Now, new distance covered is,
`d_(new)=100` m.

The conversion factor for meter to yard is 1 m = 1.0936 yards

Therefore, new distance in yards is,
`d_(new)=1.0936 * 100=109.36\textrm{ yd}`

Speed is same which is equal to 10.5 yd/s.

Therefore, time taken to cover 109.36 yards is given as:

`t_(new)=(d_(new))/(v_(0))\\t_(new)=(109.36)/(10.5)=10.415\approx10.42\textrm{ s}`

Therefore, his time for 100 meter distance running at the same speed is 10.42 s.