Question

referring to a-x graph find the velocity when the displacement of the particle is 100 m assume initial velocity as zero​

Answer 1

Answer:

Explanation:

Referring to a−x graph, find the velocity when thedisplacement of the particle is 100m. Assume intial velocity as zero.

Answer 2

Explanation:

Referring to a−xa-x graph, find the velocity when thedisplacement of the particle is 100m100m. Assume intial velocity as zero.

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Text Solution

Solution : 

We can find relation between aa and xx as:

Using (y−y1=(y2−y1x2−x(1)(x−x1(y-y1=(y2-y1x2-x(1)(x-x1

(a−3)=6−3250−50(x−50)⇒a=3100x+32(a-3)=6-3250-50(x-50)⇒a=3100x+32

But v=v√20+2(A)v=v02+2(A)

As v0=0⇒v2=2∫adxv0=0⇒v2=2∫adx

⇒a=3100x32⇒a=3100x32

⇒v2=2⇒v2=2 [Area of (a-x) graph upto x=100mx=100m]

=2[12(32+92)100]=600⇒v=1