Question

A particle is in motion such that its velocity parallel to y-axis is constant and parallel to x-axis it is
proportional to y coordinate.

(a) The particle moves with constant acceleration
(b) The path of the particle is a hyperbola
(C) If the particle starts from the origin, it will initially move in y direction
(d) If the particle starts from the origin, it will initially
move in x direction
Please explain the answer.​

Answer 1

Answer:

Correct option is B)

Angular momentum L=myv

where y is the distance of the particle on y-axis from the origin and v is the velocity. Since the particle is moving parallel to x-axis, so its distance on the y-axis from the origin remains the same and thus its angular momentum about the origin remains the same.

Answer 2

Answer: The correct option is A) The particle moves with constant acceleration when a particle is in motion such that its velocity parallel to y-axis is constant and parallel to x-axis it is proportional to y coordinate.

Explanation:

Few facts related with motion and graphs:

• When the acceleration is constant, the slope of the velocity graph is also constant.
• The position graph must show a rising slope if the velocity is growing gradually. A position graph that is parabolic results from constant acceleration.
• Once more, the displacement is the region under the velocity graph's curve.
• The slope of the position graph is called velocity.
• The displacement is the region under the velocity graph's curve.
• The region under the acceleration graph's curve that represents the change in velocity.
• A horizontal line on the acceleration graph indicates constant acceleration.
• The slope of the velocity graph is called acceleration. For the velocity graph, constant acceleration = constant slope = straight line.
• The change in velocity is shown by the area under the acceleration graph.

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