1.

A bus starts from rest accelerating uniformly with 4ms^(-1)at t =10s a stone is dropped out of a window of the bus 2mhigh what are the (i) magnitude of velocity and (ii) accelearatio of the stone at 10.2 s take g=10 ms^(-2)

Answer»

Solution :Given
Acceleration`=4ms^(-2)`
Time=- 10s
(i)horizontalvelocityof the busor the stoneat t= 10 is
`v_(x) = U +at = 0 + 4 xx 10`
forverticalmotionof THESTONE
`u= 0a=g= 10 ms^(-2)t =10.2-10=0.2s`
`v_(y)=0+10 xx 0.22ms^(-2)`
Magnitudeof teh resultantvelocityof the stone is
`v= sqrt( v^(2) + v^(2)) = sqrt(40^(2) +2^(2))`
(ii) Afterteh stoneis droppeditsaccelerationalonghorizontal is ZERO. it has only averticalacceleration of `10 ms^(-2)`


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