The velocity - time graph of a body moving in a straight line is shown in figure. The displacement and distance travelled by the in 6 seconds are respectively :

Question

inkyvoyd · Answer

Figure. Nao.

anonymous · Answer

attachment

anonymous · Answer

This is the quest.

inkyvoyd · Answer

v=at
d=v(initial)+1/2 at^2
d=vt

inkyvoyd · Answer

Displacement is movement, whether forward or backwards.

inkyvoyd · Answer

distance is foward movement.

apoorvk · Answer

for displacement, find the 'net' area under the v-t curve.

for distance, find the magnitude of areas of each portion, and add 'em up.

inkyvoyd · Answer

if you are taking calc, do waht @apoorvk said,

inkyvoyd · Answer

otherwise, you might want to do it the elementary way, even though it is in essence the same thing.

inkyvoyd · Answer

Basically, since distance=velocity*time, we can add up each of these segments of constant velocity.

inkyvoyd · Answer

Now, for distance, remember that the velocity is negative sometimes and if that is the case, subtract. If, however, you are calculating displacement, calcuate the absolute value of the distance traveled in each segment, and add them up.

anonymous · Answer

i can not still understand any easy method ? @apoorvk  please explain in hindi it would be easier for me

anonymous · Answer

can u tell me through formula putting 
i mean which formula to use here ? etc.

inkyvoyd · Answer

First, we need to know the difference between distance and displacement. Do you know?

inkyvoyd · Answer

(This is important.)

anonymous · Answer

yes distance is a scalar 
displacement is a vector quantity

inkyvoyd · Answer

Ok, good.

inkyvoyd · Answer

Now, tell me if acceleration is constant in each segment, whether it is variable, or whether there is no acceleration.

anonymous · Answer

NO ACCELERATION

anonymous · Answer

^correct!

inkyvoyd · Answer

Good. Since there is no acceleration, let's not worry about it.

anonymous · Answer

Do you know that s=vt ?

inkyvoyd · Answer

distance=velocity*time. Find the distance that is made by each of those three segments, add them up, and there is your resultfor distance.

anonymous · Answer

ok 
s = ut + 1/2 (at2)  = , since no acceleration is there hence s=ut

inkyvoyd · Answer

Tell me what you get.

anonymous · Answer

8m = displacement and 16m = distance hey inkywood thanks a lot can u add me here https://www.facebook.com/kushashwaravi.shrimali?ref=tn_tnmn please

anonymous · Answer

or kushashwaravishrimali@gmail.com

inkyvoyd · Answer

Kay, I'm maru hedg ehog.

anonymous · Answer

thanks a lot for ur gr8 help ok please dont forget to send me requests on both

anonymous · Answer

i accpeted thanks a lot bbye

inkyvoyd · Answer

Wait, flip those around. Displacement is 16, and distance is 8