The displacement-time graph of a moving object is shown in figure. Which of the velocity-time graphs shown in figure could represent the motion of the same body?

Question

The displacement-time graph of a moving object is shown in figure. Which of the velocity-time graphs shown in figure could represent the motion of the same body? Question

(A)

(B)

(C)

(D)

Tardigrade Admin · Accepted Answer

We know that, v=(d x/d t) , it is slope of x-t of graph From, 0s-5s- slope will be decreasing 5s- slope is zero 5s-10s- slope will be increasing in but a negative value <img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-mnx8gw1dxneah1i7.jpg" />

Q. The displacement-time graph of a moving object is shown in figure. Which of the velocity-time graphs shown in figure could represent the motion of the same body?

We know that,
$v = \frac{d x}{d t}$ , it is slope of $x - t$ of graph
From,
$0 s - 5 s -$ slope will be decreasing
$5 s -$ slope is zero
$5 s - 10 s -$ slope will be increasing in but a negative value

Q. The displacement-time graph of a moving object is shown in figure. Which of the velocity-time graphs shown in figure could represent the motion of the same body?

We know that, v=dtdx​ , it is slope of x−t of graph From, 0s−5s− slope will be decreasing 5s− slope is zero 5s−10s− slope will be increasing in but a negative value

We know that,
$v = \frac{d x}{d t}$ , it is slope of $x - t$ of graph
From,
$0 s - 5 s -$ slope will be decreasing
$5 s -$ slope is zero
$5 s - 10 s -$ slope will be increasing in but a negative value