A wooden block, initially at rest on the ground, is pushed by a force which increases linearly with time t . Which of the following curve best describes acceleration of the block with time :
(A)(see structure)
(B)(see structure)✓ Correct
(C)(see structure)
(D)(see structure)
Answer: (B)
Solution
The applied force grows linearly, F=kt. Once the block is moving, Newton's second law gives
a=mF=mkt.
Acceleration is directly proportional to t — a straight line through the origin. Option B.
JEE Main · 2024 · 04 Apr 2024 · Shift 1 · Single correct option