1.

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. ` 7sqrt(2)` unitsB. ` 7 units`C. ` 8.5 units`D. `10 units`

Answer» Correct Answer - A
Given ` vec (u) + 3hat(i) + 4 hat(j) , vec(a) = 0.4 hat(i) + 0.3 hat (j) , t = 10 s `
` vec(v) = vec(u) + vec(a)t = 3 hat(i) + 4hat(j) + ( 0.4 hat (i) + 0.3 hat(J )) XX 10 = 7 hat(i) + 7 hat(j) `
`:. |vec(v) | = sqrt( 7^(2) + 7^(2) ) = 7 sqrt(2) units`


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