Question

A speed-time graph is shown below:

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