Question

Acceleration-time (\(a-t\)) graph of a body is shown. The corresponding velocity-time (\(v-t\)) graph is 

• A. Option a
• B. Option b
• C. Option c
• D. Option d

Hint:

Graph relations:
Area under \(a-t\) gives change in velocity.
Zero acceleration ⇒ flat \(v-t\).

Answer 1

The Correct Option is C

Concept:
Velocity is integral of acceleration.

Step 1: Analyse acceleration graph
Constant positive acceleration initially.
Then zero acceleration.
Then again constant positive acceleration.

Step 2: Effect on velocity
First interval ⇒ velocity increases linearly.
Second interval ⇒ velocity constant.
Third interval ⇒ velocity again increases linearly.

Step 3: Graph shape
Straight rise → flat → rise.

This matches option (C).