Question:

The following figure gives the movement of an object. Select the correct statement from the given choices.

Updated On: Mar 4, 2024
  • The total distance travelled by the object is 975 m
  • The maximum acceleration of the object is $2m/s^2$
  • The maximum declaration happend between $25^{th}$ and $35^{th}$ seconds
  • The object was at rest between $10^{th}$ and $15^{th}$ seconds
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The Correct Option is A

Solution and Explanation

The total distance travelled by the object will be area of given graph in the figure.
So, the total distance travelled by the object
$=$ Area of $(1)+$ Area of $(2)+$ Area of $(3)+$ Area of $(4)$
$+$ Area of $(5)+$ Area of $(6)+$ Area of $(7)$
$=\frac{1}{2} \times 10 \times 15+(20-10) \times(15-0)$
$+\frac{1}{2 m}(25-15) \times(40-15)+(35-25)$
$(20-0) +\frac{1}{2}(35-25) \times(40-20)+$
$(45-35) \times(20-0)+\frac{1}{2} $
$(50-45) \times(15-0) $
$=975\, m $

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Concepts Used:

Physical World

The physical world includes the complications of the natural world around us. It is a type of analysis of the physical world around us to understand how it works. The fundamental forces that control nature are:

  • Gravitational Force is a universal force that exists as an outcome of mutual attraction between any two objects with respect to their masses.
  • Electromagnetic Force can be understood as the force that is present between the charged particles. The force is stated by Coulomb’s law.
  • Strong Nuclear Force is the force that ties the protons and neutrons in a nucleus. Of all the elemental forces in nature, a strong nuclear force is the strongest as its name suggests.
  • Weak Nuclear Force can only be noticed in some of the nuclear processes such as the beta decay of the nucleus.