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Question: The time taken by a block of wood (initially at rest) to slide down a smooth inclined plane 9.8 m lo...

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∘30 ^ { \circ } ) is

A

12sec\frac { 1 } { 2 } \mathrm { sec }

B

2 sec

C

4 sec

D

1 sec

Answer

2 sec

Explanation

Solution

For one dimensional motion along a plane

S=ut+12at2S = u t + \frac { 1 } { 2 } a t ^ { 2 } ⇒9.8=0+12\Rightarrow 9.8 = 0 + \frac { 1 } { 2 } gsin⁡30∘t2g \sin 30 ^ { \circ } t ^ { 2 } ⇒ t=2sect = 2 \mathrm { sec }