Question

Question :-
1) Is the graph shown above showing positive or negative acceleration ? How can you tell ? (Give prove that how can you say it is negative or positive)

Note : No spamming. Be brainly .​

Answer 1

Answer:-

It is positive acceleration.

Because here you can see it is an absolute increasing graph as it's slope is postive and the slope of this graph gives you acceleration. So, the acceleration in showing figure is positive .

And , in the figure it is the graph of Non-uniform acceleration .

Extra Information !!

◒ Slope of velocity -time graph give us acceleration.

◒ Slope of distance-time graph give us speed .

◒ The area under velocity-time graph give us displacement.

◒ Acceleration is defined as the rate of change in velocity at per unit time.

◒ SI unit of acceleration is m/s².

◒ Acceleration is vector quantity (i.e., it has both direction as well as magnitude ).

Answer 2

The graph in Question shows the positive acceleration.

How To Determine ?

Acceleration may be Positive and Constant or Negative and Constant for a uniformly accelerated motion.

Both the cases are discussed below;

❒ 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.