Question

A speed-time graph is shown below:

A Speed versus Time graph is shown with y-axis labeled position in centimeters per second up to 5 and x-axis labeled time in seconds up to 8. A straight line connects the points 0, 0 and 4, 4. A horizontal line connects points 4, 4 and 8, 4.

How far did the object travel by the end of eight seconds, according to the graph above?

It traveled 12 centimeters.
It traveled 16 centimeters.
It traveled 24 centimeters.
It traveled 32 centimeters.

Answer 1

Answer:

The answer to your question is 24 cm

Explanation:

The travel is divided into two sections:

1.- From 0 to 4 seconds

2.- From 4 to 8 seconds

In the first travel speed changes and on the second travel, speed is constant.

1.- Distance 1

   $a = \frac{4 - 0}{4}$

          a = 1 cm/s²

   $d = \frac{v^{2}f - v^{2}o  }{2a}$

   $d = \frac{4^{2} - 0^{2} }{2(1)}$

   $d = \frac{16}{2}$

          d = 8 cm

2.- Distance

    $speed = \frac{distance}{time}$

           distance = speed x time

           distance = (4) x 4

           distance = 16 cm

3.- Total distance

           d = 8 + 16

          d = 24 cm