Answer:
a) Acceleration = [tex]8.75m/s^2[/tex]
b) Slow down acceleration = 0.625[tex]m/s^2[/tex]
c) Car travels 9.8 m
Explanation:
Acceleration = Change in velocity/Time
a) Change in velocity = 3.5-0 = 3.5 m/s
Time = 0.4 seconds
Acceleration = [tex]3.5/0.4=8.75m/s^2[/tex]
b) Change in velocity = 0 - 3.5 = -3.5 m/s
Time = 5.6 seconds
Acceleration = [tex]-3.5/5.6=-0.625m/s^2[/tex]
Slow down acceleration = 0.625[tex]m/s^2[/tex]
c) We have equation of motion, [tex]v^2=u^2+2as[/tex], where u is the initial velocity, u is the final velocity, s is the displacement and a is the acceleration.
Here v = 0 m/s, u = 3.5 m/s, a = -0.625[tex]m/s^2[/tex]
Substituting
[tex]0^2=3.5^2-2*0.625*s\\ \\ s=9.8m[/tex]
So, car travels 9.8 m
