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A particle has an initial velocity of 3h...

A particle has an initial velocity of `3hat(i) + 4 hat(j)` and an acceleration of `0.4 hat(i) + 0.3 hat(j)`. Its speed after `10s ` is :

A

`6sqrt(3) unit`

B

`6 sqrt(2) unit`

C

`7sqrt(3) unit`

D

`7sqrt(2) unit`

Text Solution

Verified by Experts

The correct Answer is:
D
`vec(v)= vec(u)+vec(a).t= 3hat(i)+4hat(j)+10(0.4hat(i)+0.3hat(j))`
`=3hat(i)+4hat(j)+4hat(i)+0.3hat(j)=(7hat(i)+7hat(j))`
`:. |vec(v)|= sqrt((7)^(2)+(7)^(2))=7sqrt(2)`
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