1.

A particle moves in a circle of radius `30cm`. Its linear speed is given by `v=2t`, where `t` in second and `v` in `m//s`. Find out its radial and tangential acceleration at `t=3s`.A. `220m/s^(2),50m//s^(2)`B. `100m//s^(2),5m//s^(2)`C. `120m//s^(2)`D. `110m//s^(2),10m//s^(2)`

Answer» Correct Answer - C
`R=0.3m,v=2t`
At `t=3s,v=6m//s`
`a_(c)=(v^(2))/(R )=((6)^(2))/(0.3)=(36)/(0.3)=120m//s^(2)`
`v=2t`
`a_(t)=(dv)/(dt)=2m//s^(2)`


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