(a) 44.7 m/s
We can find the final velocity of the car by using the SUVAT equation:
[tex]v^2-u^2 = 2ad[/tex]
where
v is the final velocity
u = 0 is the initial velocity (the car starts from rest)
[tex]a=0.5 m/s^2[/tex] is the acceleration
[tex]d=2km = 2000 m[/tex] is the displacement
Solving for v,
[tex]v=\sqrt{u^2 +2ad}=\sqrt{0+2(0.5)(2000)}=44.7 m/s[/tex]
(b) 80 s
We can find the time it takes for the car to cover 1.6 km by using the following SUVAT equation:
[tex]d=ut+\frac{1}{2}at^2[/tex]
where in this case we have
d = 1.6 km = 1600 m is the displacement
[tex]a=0.5 m/s^2[/tex] is the acceleration
u = 0
t is the time
Solving for t, we find:
[tex]t=\sqrt{\frac{2d}{a}}=\sqrt{\frac{2(1600)}{0.5}}=80 s[/tex]
