Answer :
(1) The correct option is, 9.00 m/s, east
(2) The correct option is, 27.00 m/s, east
Explanation :
Average velocity : It is defined as the change in the displacement with respect to the change in time.
Formula used :
[tex]V_{average}=\frac{\Delta d}{\Delta t}=\frac{d_{final}-d_{initial}}{t_{final}-t_{initial}}[/tex]
where,
d = displacement
t = time
(1) Now we have to calculate the average velocity between 3.00 and 6.00 seconds.
[tex]V_{average}=\frac{36m-9m}{6s-3s}=9m/s[/tex]
The average velocity between 3.00 and 6.00 seconds is, 9 m/s, east
(2) Now we have to calculate the average velocity between 12.00 and 15.00 seconds.
[tex]V_{average}=\frac{225m-144m}{15s-12s}=27m/s[/tex]
The average velocity between 12.00 and 15.00 seconds is, 27 m/s, east
Therefore, (1) The correct option is, 9.00 m/s, east
(2) The correct option is, 27.00 m/s, east