Question

A person on horseback moves according to the velocity-time graph shown in figure. The total displacement of the person is

Answer 1

CORRECT QUESTION:

A person on horseback moves according to the velocity time graph as shown. The vertical axis is marked in increments of 2 m/s, the horizontal axis is marked in increments of 5 m/s. Find the total displacement of person?

Calculation:

• Always remember : The net displacement can be calculated by obtaining the total area under a VELOCITY-TIME graph.

The total displacement is from area of :

$\rm d = area(a) + area(b) + area(c)$

$\rm \implies d = (\dfrac{1}{2} \times 10 \times 2) + ( \dfrac{1}{2} \times 15 \times 4) + ( 15 \times 2)$

$\rm \implies d = 10+ 30 +30$

$\rm \implies d = 70 \: metres$

So, net displacement is 70 metres.