Question

Explain All the Case of Constant Acceleration briefly
according to Class 12​

Answer 1

Answer:

Acceleration - The Physics Classroom Sometimes an accelerating object will change its velocity by the same amount each second. ... This is referred to as a constant acceleration since the velocity is changing by a constant amount each second. An object with a constant acceleration should not be confused with an object with a constant velocity.

Acceleration - The Physics Classroom Sometimes an accelerating object will change its velocity by the same amount each second. ... This is referred to as a constant acceleration since the velocity is changing by a constant amount each second. An object with a constant acceleration should not be confused with an object with a constant velocity.

Answer 2

❒ Case 1 :-

$\bf \purple{ \maltese \:  \: Acc. \:  is \:  + ve \: and  \: Const.}$

⇝ Subcase 1 :-

★ When Positive Velocity is Increasing.

Positive Velocity is Increasing,

⟹ Slope of displacement - time graph is positive and increasing.

The Shape Displacement - time graph will be parabolic : x ∝ t².

a = +ve Constant

$\sf \frac{dv}{dt}$ = +ve Constant

⟹ Slope of velocity - time graph = +ve Constant

⇝ Subcase 2 :-

★ When Negative Velocity is Decreasing.

Negative Velocity is Decreasing,

⟹ Slope of displacement - time graph is negative and decreasing.

The Shape Displacement - time graph will be parabolic : x ∝ t².

a = +ve Constant

$\sf \frac{dv}{dt}$ = +ve Constant

⟹ Slope of velocity time - graph = +ve Constant

❒ Case 2 :-

$\bf \purple{ \maltese \:  \: Acc. \:  is \:  - ve \: and  \: Const.}$

⇝ Subcase 1 :-

★ When Positive Velocity is Decreasing.

Positive Velocity is Decreasing,

⟹ Slope of displacement - time graph is positive and decreasing.

The Shape Displacement - time graph will be parabolic : x ∝ t².

a = - ve Constant

$\sf \frac{dv}{dt}$ = - ve Constant

⟹ Slope of velocity - time graph = - ve Constant

⇝ Subcase 2 :-

★ When Negative Velocity is Increasing.

Negative Velocity is Increasing,

⟹ Slope of displacement - time graph is neagative and increasing.

The Shape Displacement - time graph will be parabolic : x ∝ t².

a = - ve Constant

$\sf \frac{dv}{dt}$ = - ve Constant

⟹ Slope of velocity - time graph = - ve Constant.