question_answer

A block is released from rest at the top of a frictionless inclined plane 16 m long. It reaches the bottom 4 sec later. A second block is projected up the plane from the bottom at the instant the block is released in such a way that it returns to the bottom simultaneously with first block. The acceleration of each block on the incline is

A) \[\text{1 m}/{{\text{s}}^{\text{2}}}\]             

B)         \[\text{2 m}/{{\text{s}}^{\text{2}}}\]  

C) \[\text{4 m}/{{\text{s}}^{\text{2}}}\]             

D)         \[\text{9}.\text{8 m}/{{\text{s}}^{\text{2}}}\]

Correct Answer: B

Solution :

We know,          \[s=\frac{1}{2}a{{t}^{2}}\] \[\therefore \]                 \[16=\frac{1}{2}\times a\times {{(4)}^{2}}\] \[\Rightarrow \]               \[a=2m/{{s}^{2}}\]