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The time taken by a block of wood (initially at rest) to slide down a smooth inclined plane 9.8 m long (angle of inclination is 30°) is
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The time taken by a block of wood (initially at rest) to slide down a smooth inclined plane 9.8 m long (angle of inclination is 30°) is

JEE/Engineering Exams
Physics
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The time taken by a block of wood (initially at rest) to slide down a smooth inclined plane 9.8 m long (angle of inclination is 30°) is
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( Rightarrow S=u t+frac{1}{2} a^{2} )
( Rightarrow 9.8=0+frac{1}{2} times g times sin 30 t^{2} )
( Rightarrow 9.8=frac{1}{2} times 98 times frac{1}{2} times t^{2} )
( Rightarrow 1=frac{1}{4} times t^{2} )
( Rightarrow 4=t^{2} )
( therefore t=2 sec )