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A particle has initial velocity (2 vec(i...

A particle has initial velocity `(2 vec(i)+3 vec(j))` and acceleration `(0.3 vec (i)+0.2 vec (j))`. The magnitude of velocity after 10 seconds will be

A

`9sqrt2` units

B

`5sqrt2` units

C

5 units

D

9 units

Text Solution

Verified by Experts

The correct Answer is:
B

Here, `vecu=2hati+3hatj,veca = 0.3 hati + 0.2 hatj,t = 10 s`
As `vecv = vecu + vecat `
`:. vecv=(2hati+3hatj)+(0.3hatj+0.2hatj)(10)`
`=2hati+3hatj+3hati+2hatj=5hati+5hatj`
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