A worker with a wheelbarrow filled with bricks starts at a point 50 m from the
entrance to a construction site. The worker pushes the wheelbarrow away from the
entrance at a speed of 1 m/s for 10 s, stops for 5 s to unload, and then moves back
toward the entrance at a speed of 2 m/s for 20 s. Draw a distance-time graph.

Worker started from a point 50 from entrance. The worker pushes it away from the entrance at a speed of 1 m/s for 10 s that is there is no acceleration for 10 s as speed is constant.

Distance covered in this time is given by

[tex]\Rightarrow s_1=1\times 10\\\Rightarrow s_1=10\ m[/tex]

It is stopped for 5 s and then starts moving towards entrance with a speed of 2 m/s for 20 s. Also, there is no acceleration.

distance traveled in this time

[tex]\Rightarrow s_2=2\times 20\\\Rightarrow s_2=40\ m[/tex]

As, distance cannot shown negative. It is shown in increasing manner.