Question:

Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity ?

Updated On: Oct 22, 2024
  • velocity-time graph
  • velocity-time graph
  • velocity-time graph
  • velocity-time graph
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The Correct Option is C

Solution and Explanation

\(a = -C\)

\(\frac{VdV}{dx} = -C\)

\(VdV = - CdX\)

\(\frac{V^{2}}{2} = -Cx + k\)

\(x = -\frac{V^{2}}{2C}+\frac{K}{C}\)

\(\text{The Correct Option is (C): }\)velocity-time graph

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Concepts Used:

Motion in a straight line

The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion. 

Types of Linear Motion:

Linear motion is also known as the Rectilinear Motion which are of two types:

  1. Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
  2. Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.