The slope of an acceleration-time graph gives

The correct answer is option 4) i.e. ​jerk

CONCEPT:

• Acceleration is defined as the rate of change of velocity.
  • The SI unit of acceleration is m/s2.

Acceleration, a = \(\frac{dv}{dt}\)

Where v is the velocity during the time period t.

• Jerk or jolt is defined as the rate of change of acceleration with respect to time.
  • It is said to occur when an object experiences a sudden pull/push or irregular movement.

EXPLANATION:

• The slope of an acceleration time graph equals the ratio of change in acceleration for the time interval considered.

Slope = \(\frac{\Delta a}{\Delta t}\) = rate of change of acceleration = jerk

​Additional Information

• Velocity is the rate of change of displacement with time. It is obtained from the slope of the displacement-time graph.
• Impulse is the change in momentum of an object when the object is acted upon by a force for a certain amount of time.
• Force is a push or pull that acts on an object and changes its state of rest/motion or shape or direction.