A 2 kg toy car can move along an x axis. Graph shows force Fx, acting on the car which begins at rest at time t=0 The velocity of the particle at t=10 s is:

Question

A 2 kg toy car can move along an x axis. Graph shows force Fx, acting on the car which begins at rest at time t=0 The velocity of the particle at t=10 s is: <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/5627fed339a68c1280b3be11286868bc-.png" /> (A) -i m/s (B) -1.5 i m/s (C) 6.5 i m/s (D) 13 i m/s

Tardigrade Admin · Accepted Answer

∫ dp=Pf -Pi =∫ F dt = Area under the curve Pi=0 Net Area =16-2-1=13 N-s =Vf=(13/2)=6.5i m /s [As momentum is positive, particle is moving along positive x axis]

Q. A $2 k g$ toy car can move along an $x$ axis. Graph shows force $F_{x}$ , acting on the car which begins at rest at time $t = 0$ The velocity of the particle at $t = 10 s$ is :

$- i m / s$

$- 1.5 i m / s$

$6.5 i m / s$

$13 i m / s$

$\int d p = P_{f} - P_{i} = \int F d t$

= Area under the curve

$P_{i} = 0$

Net Area $= 16 - 2 - 1 = 13 N - s$

$= V_{f} = \frac{13}{2} = 6.5 i m / s$

[As momentum is positive, particle is moving along positive x axis]

Q. A 2kg toy car can move along an x axis. Graph shows force Fx​, acting on the car which begins at rest at time t=0 The velocity of the particle at t=10s is :

−im/s

−1.5im/s

6.5im/s

13im/s