Question

We looking for distance

Answer 1

Answer:

240 m

Step-by-step explanation:

Figure is attached.

The distance the particle travels is the area under the v-t graph over the time interval from 0 min to 4 min.  The reason you can't just multiply velocity by time is that the velocity is changing at a constant rate over the given time interval (the line is going upward--the particls is speeding up).

What's the area under the graph?

The red outline forms a trapezoid.  The area of a trapezoid is  $A=\frac{1}{2}h(b_1+b_2)$  where the b's are the lengths of the two parallel base and  h  is the height (the distance between the bases).

Reading the graph carefully (notice the scales!)...

$A=\frac{1}{2}(4)(30+90)=(2)(120)=240 \text{m}$