Question

Find the displacement of a body whose velocity time graph is shown below:
​

Answer 1

Answer:

Given:

A velocity vs Time graph has been given.

To find:

Displacement of the body in 8 seconds.

Concept:

Displacement is given by the area under the velocity vs time curve because of the following integral relationship :

$\boxed{x = \int \: v(t) \: dt}$

Calculation:

Just calculate the area under the graph :

Displacement

$= ( \dfrac{1}{2} \times 2 \times 10) + \: ( 6 \times 10 )+ ( \dfrac{1}{2} \times 2 \times 10)$

$= 10 + 60 + 10$

$= 80 \: metres$

So final answer :

$\boxed{displacement = 80 \: metres}$

Answer 2

☆Refer to the attachment please