A particle starts from rest at t=0 and moves in a straight line with acceleration as shown in figure. The velocity of the particle at t=3 s is

Question

A particle starts from rest at t=0 and moves in a straight line with acceleration as shown in figure. The velocity of the particle at t=3 s is <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-h6tsf4q65lkf.png" /> (A) 2 m s- 1 (B) 4 m s- 1 (C) 6 m s- 1 (D) 8 m s- 1

Tardigrade Admin · Accepted Answer

Velocity at 3s= total algebraic sum of area under the curve v = 4 × 2 - 4 × 1 = 4 m/s

Q. A particle starts from rest at $t = 0$ and moves in a straight line with acceleration as shown in figure. The velocity of the particle at $t = 3 s$ is

$2 m s^{- 1}$

$4 m s^{- 1}$

$6 m s^{- 1}$

$8 m s^{- 1}$

Velocity at $3 s =$ total algebraic sum of area under the curve
$v = 4 \times 2 - 4 \times 1 = 4 m / s$

Q. A particle starts from rest at t=0 and moves in a straight line with acceleration as shown in figure. The velocity of the particle at t=3s is

2ms−1

4ms−1

6ms−1

8ms−1