Question

What does the area under acceleration time graph gives?
1. Change in Velocity 
2. Jerk
3. Displacement
4. Total distance covered

Answer 1

Correct Answer - Option 1 : Change in Velocity 

CONCEPT:

Velocity

• The rate of change of displacement is defined as the velocity of the body
• Velocity is a vector quantity i.e. it has both magnitudes as well as directions

Acceleration

• The rate of change of velocity is known as the acceleration of the body
• Acceleration is a vector quantity i.e. it has both magnitudes as well as directions

Deacceleration

• When the acceleration of the body is in the opposite direction of velocity then it is said to be deacceleration
• It is the negative acceleration of the body 
• The slope of any velocity-time graph gives acceleration or de-acceleration of the body

EXPLAINATION:

• The area under the acceleration time graph gives the change in Velocity.
• The area under a-t graph for a certain time interval is equal to the change in Velocity during that time interval.

⇒ Δa = Δv/Δt

• Multiplying both sides by Δt,

⇒ Δv = Δa × Δt

• Multiplying acceleration by a change in time is equivalent to finding the area under the curve.
• Hence, option (1) is correct.