Answer:
His time for 100 meter distance running at the same speed is 10.42 s.
Explanation:
Given:
Distance covered in [tex]t_{0}=9.52[/tex] seconds, [tex]d_{0}=100[/tex] yd.
So, speed for running 100 yards is, [tex]v_{0}=\frac{\textrm{Distance}}{\textrm{Time}}=\frac{100}{9.52}=10.5[/tex]
Now, new distance covered is, [tex]d_{new}=100[/tex] m.
The conversion factor for meter to yard is 1 m = 1.0936 yards
Therefore, new distance in yards is, [tex]d_{new}=1.0936 \times 100=109.36\textrm{ yd}[/tex]
Speed is same which is equal to 10.5 yd/s.
Therefore, time taken to cover 109.36 yards is given as:
[tex]t_{new}=\frac{d_{new}}{v_{0}}\\t_{new}=\frac{109.36}{10.5}=10.415\approx10.42\textrm{ s}[/tex]
Therefore, his time for 100 meter distance running at the same speed is 10.42 s.
