Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity ?
The Correct Option is C
Solution and Explanation
\(a = -C\)
\(\frac{VdV}{dx} = -C\)
\(VdV = - CdX\)
\(\frac{V^{2}}{2} = -Cx + k\)
\(x = -\frac{V^{2}}{2C}+\frac{K}{C}\)
\(\text{The Correct Option is (C): }\)
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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:
- 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.
- 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.