Answer:
Speed = 10.42 m/secs
Step-by-step explanation:
We have been given with:-
Distance = 100m
Time taken = 9[tex]\frac{3}{5}[/tex] secs
1) First, we need to convert the mixed number 9[tex]\frac{3}{5}[/tex] to an improper fraction.
Method to convert a mixed number to an improper fraction
[tex]a\frac{b}{c} = \frac{c*a+b}{c}[/tex]
Applying the above formula, we get
9[tex]\frac{3}{5}[/tex] = [tex]\frac{5*9+3}{5}[/tex]
= [tex]\frac{45+3}{5}[/tex]
= [tex]\frac{48}{5}[/tex]
2) Now we need to convert [tex]\frac{48}{5}[/tex] into a decimal by dividing 48 by 5.
We get time taken as 9.6 secs
3) We need to find the speed using the below formula:-
Speed = [tex]\frac{Distance}{Time taken}[/tex]
Plugging the values of Distance and Time taken into the formula, we get
Speed = [tex]\frac{100}{9.6}[/tex]
= 10.416 m/secs
4) Upon rounding it to the nearest hundredth, we get
Speed = 10.42 m/secs