Question

Assertion (A): When the displacement of a body is directly proportional to the square of the time. Then the body is moving with uniform acceleration. Reason (R): The slope of velocity-time graph with time axis gives acceleration. Both A and R are true and R is the correct explanation of A. Both A and R are true but R is not the correct explanation of A. A is true but R is false. A is false but R is true.​

Answer 1

Answer:

both A and R are true but R is not the correct explanation of A

Answer 2

Assertion (A): When the displacement of a body is directly proportional to the square of the time. Then the body is moving with uniform acceleration. Reason (R): The slope of the velocity-time graph with the time axis gives acceleration.

• The word "displacement" means a shift in an object's position. It's a vector quantity with a magnitude and then a direction. It's depicted as an arrow pointing from the beginning place to the destination.
• When a body's rate of altering of motion with times is constant, the material is said to have been uniformly accelerated, in other terms, the displacement of a material is proportional to the magnitude of time in uniform acceleration. Distance divided by second equals velocity. Distance divided by $second^{2}$ equals acceleration.
• The object's acceleration is represented by the slope of a velocity graph. As a result, the part of the curve at a given moment shows the object's acceleration at that time.
• To begin, the object's acceleration appears equivalent to the velocity-time graph's slope. The object was traveling at a consistent velocity throughout each segment of its motion in this scenario. Second, the object's displacement over that timespan is equivalent to the area beneath the graph.

Therefore, Both assertion and the reason are correct.