Match Column-I with Column-II:

Choose the correct answer from the options given below:

Key idea:

$$v=\frac{dx}{dt}=\text{slope of }x\text{-}t\text{ graph}$$

Graph A:-

• Slope increases with time → velocity increases with time
• That means accelerated motion

Matches II (v increases linearly with time)

So:
A → II

Graph B:-

• Initially slope is large (negative direction), then becomes less steep
• So velocity starts negative and approaches zero
• Velocity increasing towards zero (but still negative initially)

Matches IV (velocity increasing from negative towards zero)

So:
B → IV

Graph C:-

• First slope positive → velocity positive
• Then slope negative → velocity negative
• Sudden change → velocity jumps from +v to −v

Matches III (step from +v to −v)

So:
C → III

Graph D:-

• Constant slope → constant velocity

Matches I (constant velocity)

So:
D → I

Final answer:

A→II,B→IV,C→III,D→I