Answer:
[tex]a=6\ m/s^2[/tex]
Explanation:
Given that,
Initial speed, u = 0.5 m/s
Final speed, v = 2 m/s
Time, t = 0.25 s
Let a be the acceleration of the mosquito. Using first equation of motion as follows :
v=u+at
Put all the values,
2=0.5+0.25a
So,
[tex]a=\dfrac{2-0.5}{0.25}\\\\a=6\ m/s^2[/tex]
So, the acceleration of the mosquito is equal to [tex]6\ m/s^2[/tex].