Question

a lift is going up from the ground the variation in the speed of the lift ia given in the graph what is the height of which the lift takes the passengers ​

Answer 1

answer is...................

Answer 2

Answer:

The height of which the lift takes the passengers is 36 m

Explanation:

The velocity of a body is rate of change of  its displacement with the time. let v be the velocity and x be the  its displacement. Then we have

$\dfrac{dx}{dt}=v\\\int dx= \int vdt\\x=\int vdt$

The term $\int vdt$ is area under the v-t curve

So Displacement is are under the v-t curve.

From the given figure

Area under the v-t curve is

$=\dfrac{3.6\times2}{2}+3.6\times 8+\dfrac{3.6\times2}{2}\\\\=36\ \rm m$

Hence the height of which the lift takes the passengers is 36 m