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body moves along x-axis with velocity v ...

body moves along x-axis with velocity v = 5 sin(2t)m/s starting from ` x_i =-2.5 m`
Which of the following statements are correct ?

A

`7.5 m`

B

`5 m`

C

`2.5 m`

D

10 m

Text Solution

Verified by Experts

The correct Answer is:
A
Redrawing the ‘v’ vs ‘t’ Graph and analyzing the acceleration of the body.
` (##VMC_PHY_XI_WOR_BOK_01_C02_E03_048_S01.png" width="80%">
`rArr overset - a is ` given by slope of "v" vs "t" graph ` " "rArr " " overset -a "is" +ve for t= 0 "to" t=(pi)/(4) ` Second and ` t=( 3pi)/(4) "to" (5pi)/(4) sec .`
So total distance such that a is along ` (+hati ) "is " 2.5 +2.5+2.5=7.5 m `
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