Question

The displacement of a particle is given by $x=(t-2{)}^2$ where x is in metres and t in seconds. The distance covered by the particle in first 4 seconds is

• A. 4 m
• B. 8 m
• C. 12 m
• D. 16 m

Answer 1

Answer: (B)

8 m

Displacement of a particle is given by

$x=(t-2{)}^2$

Velocity, $v=\frac{dx}{dt}=2(t-2)$

Distance covered= area under the graph

$S=\frac{1}{2}\times 2\times 4+\frac{1}{2}\times 2\times 4$

$S=4+4=8unit$

The correct option is B.