Which of the following types of motion may be represented by the trajectory,
π¦(π₯)=ππ₯ 2+ππ₯+π ?
(Here a, b, and c are constants; x, y are the position coordinates)
π¦(π₯)=ππ₯ 2+ππ₯+π ?
(Here a, b, and c are constants; x, y are the position coordinates)
- Projectile motion in a uniform gravitational field
- Simple harmonic motion
- Uniform circular motion
- Motion on an inclined plane in a uniform gravitational field
The Correct Option is A
Solution and Explanation
The given equation represents a quadratic function of x, which suggests a parabolic trajectory. This is characteristic of projectile motion under the influence of gravity, where the path traced by an object is parabolic if the acceleration due to gravity is constant and the object is projected with some initial velocity.
Thus, the correct answer is (A) Projectile motion in a uniform gravitational field.
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