Answer
a) See the detailed answer below.
b) See the figure below.
c) $100\;\rm m/s,\;250\;m,\;750\;m $
Work Step by Step
a) A car starts from rest and speeds up for 5 seconds at a constant rate of 20 m/s$^2$. Then it continues at a constant velocity for an extra 5 seconds. Find its final velocity after the first 5 seconds, the distance traveled through the first 5 seconds, and the distance traveled through the last 5 seconds.
b) See the figure below.
c)
Solving for $v_{x1}$ by using the first equation:
$$v_{x1}=\color{red}{\bf 100}\;\rm m/s$$
Solving for $x_1$ by using the second equation:
$$x_1=\color{red}{\bf 250}\;\rm m$$
Solving for $x_2$ by using the third equation:
$$x_2=\color{red}{\bf 750}\;\rm m$$
