If the area under acceleration-time graph of a moving particle projected on time axis is zero then the instantaneous velocity of that particle will be

If the area under acceleration-time graph of a moving particle projected on time axis is zero then the instantaneous velocity of that particle will be Correct Answer zero

Correct option-3

Concept:-

  • The acceleration-time graph is nothing but a graph plotted between acceleration and time axes.
  • It is used to determine the change in velocity in the given interval of time.
  • In acceleration vs time graph on the x-axis you have the time taken by the object and on the y-axis acceleration of the object.
  • The acceleration time graph is used to find the change in velocity of a moving particle for a given period of time and
  • It can be determined by just finding the area under the curve.
  • To understand the acceleration vs time graph you must have an idea about basic  terminologies.
  • Acceleration:- It  measures the ratio of the change in velocity in the given time interval.Its SI unit of the acceleration is m/s2
  • Velocity:- The velocity of an object is defined as the ration of the change in the position of the object in the given interval of time. Its SI unit is m/s.
  • Time period:- The time period is defined as the interval of the time given to perform the specific event.

 

Explanation:-

  • The area under the time acceleration-time graph gives the change in velocity of the object in the given interval of time.
  • If the  area under acceleration-time graph of a moving particle projected on time axis is zero, then the velocity of the moving particle is also zero.

Hence, option-3 is the correct answer.

 

  • In physics, graphs are the essential components in the interpretation and explanation of physical phenomena.
  • The most basic that we handled in many physical quantities like speed, angular movement, acceleration and constant speed.
  • They may be simple, but they are the basis for understanding other graphs such as sound waves or the behavior of electromagnetic forces.
  • Graphs are not only very important in physics, they also play a very crucial role in the field involving mathematics and numbers,
  • In fact graphs is the best that human beings could have shown in the world of physics and mathematics , as well as its areas at the end.

Related Questions

According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through center of gravity (i.e. $$I$$P) is given by (where, A = Area of the section, $$I$$G = Moment of inertia of the section about an axis passing through its C.G. and h = Distance between C.G. and the parallel axis.)
According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through center of gravity (i.e. $${I_{\text{P}}}$$) is given by (where, A = Area of the section, $${I_{\text{G}}}$$ = Moment of inertia of the section about an axis passing through its C.G. and h = Distance between C.G. and the parallel axis.)