1.

In the question number 38, the speed of the particle at this time isA. 16 m `s^(-1)`B. 26 m `s^(-1)`C. 36 m `s^(-1)`D. 46 m `s^(-1)`

Answer» Correct Answer - B
Using eqn. (i) from question number 38,
Velocity, `vecv = (dvecr)/(dt) = (d)/(dt) (5t +1.5t^(2)) hati + 1t^(2)hatj = (5+3t)hati +2thatj`
At` = 6s, vecv = 23 hati + 12 hatj`
The speed of the particle is `|vecv| = sqrt((23)^(2) + (12)^(2)) = 26` m `s^(-1)`


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