Question

Block A is moving away from the wall at a speed v and acceleration a.
(A) Velocity of B is v with respect to A. (B) Acceleration of B is a with respect to A.
(C) Acceleration of B is 4a with respect to A. (D) Acceleration of B is v17a with respect to A.
11*
11​

Answer 1

Acceleration of B with respect to A = a√17

Explanation:

Please find the diagram in the attached picture.

We find that y = 4x

So acceleration: 4a(A) = a(B)

Velocity: 4V(A) = V(B)

Velocity of block A is 1/4th of Velocity of block B.

Option 1, 2 and 3 are false.

Block B is accelerated upwards at acceleration 4a and horizontally at acceleration a.

So resultant acceleration = √(16a² + a²) = √(17a²) = a√17

So Option 4 is the answer.