A particle starts from the origin at time t = 0 and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t = 5s ?

Question

A particle starts from the origin at time t = 0 and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t = 5s ? (A) 6 m (B) 9 m (C) 3 m (D) 10 m

Tardigrade Admin · Accepted Answer

S = Area under graph (1/2) × 2× 2+2× 2+3× 1 = 9 m

Q. A particle starts from the origin at time $t = 0$ and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time $t = 5 s$ ?

6 m

9 m

3 m

10 m

S = Area under graph
$\frac{1}{2} \times 2 \times 2 + 2 \times 2 + 3 \times 1 = 9 m$

Q. A particle starts from the origin at time t=0 and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time t=5s ?

6 m

9 m

3 m

10 m

S = Area under graph 21​×2×2+2×2+3×1=9m

Q. A particle starts from the origin at time $t = 0$ and moves along the positive x-axis. The graph of velocity with respect to time is shown in figure. What is the position of the particle at time $t = 5 s$ ?

S = Area under graph
$\frac{1}{2} \times 2 \times 2 + 2 \times 2 + 3 \times 1 = 9 m$