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A motorcycle stunt rider rides off …

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A motorcycle stunt rider rides off the edge of cliff. Just at the edge his velocity is horizontal with magnitude 9m/s . Find the magnitude of the motorcycles position vector after 0.50s it leaves the edge of the cliff
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Solution verified Verified by Toppr At t=0..50s the x−and y- coordinates are x=v 0x t ​ =(9.0ms −1 )(0.50s)=4.5m y=− 2 1 ​ gt 2 =− 2 1 ​ (10ms −2 )(0.50s) 2 =− 4 5 ​ m the negative value of y shows that this time the motorcycles is below its starting point. The motorcycle's distance from the origin at this time. r= x 2 +y 2 ​ = ( 2 9 ​ ) 2 +( 4 5 ​ ) 2 ​ = 4 349 ​ ​ m The components of velocity at this time are v x ​ =v 0x ​ =9.0ms −1 v y ​ =−gt=(−10ms −2 )(0.50s)=−5ms −1 The speed (magnitude of the velocity ) at this time is v= v x 2 ​ +v y 2 ​ ​ = (9.0ms −1 ) 2 +(−5ms −1) 2 ​ = 106 ​ ms −1
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