Figure shows the position-time graph of an object. Find the ratio of the velocities at 5th and 27th seconds

Question

Figure shows the position-time graph of an object. Find the ratio of the velocities at 5th and 27th seconds <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/3546deccdd2203b6071ba4f4e5fc26cc-.png" /> (A)  1/2  (B)  -1/2  (C)  1  (D)  -1

Tardigrade Admin · Accepted Answer

Velocity at 5th second will be the velocity in interval (0-10) S i.e., V1=(x2-x1/t2-t1) =(10-0/10-0) <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/8d2e3c093180eb0f162f22ce826e1498-.jpeg" /> Similarly, velocity at 27th sec will be velocity in time interval (25-30) v2=(x4-x3/t4-t3)=(0-10/30-25)=-2 ∴ (V1/V2)=-(1/2)

Q. Figure shows the position-time graph of an object. Find the ratio of the velocities at $5^{t h}$ and $2 7^{t h}$ seconds

$1/2$

$- 1/2$

$1$

$- 1$

Q. Figure shows the position-time graph of an object. Find the ratio of the velocities at 5th and 27th seconds

1/2

−1/2

1

−1

Velocity at 5th second will be the velocity in interval (0−10)S i.e., V1​=t2​−t1​x2​−x1​​ =10−010−0​ Similarly, velocity at 27th sec will be velocity in time interval (25−30) v2​=t4​−t3​x4​−x3​​=30−250−10​=−2 ∴V2​V1​​=−21​

Q. Figure shows the position-time graph of an object. Find the ratio of the velocities at $5^{t h}$ and $2 7^{t h}$ seconds

$1/2$

$- 1/2$

$1$

$- 1$