Question

The velocity-time graph of a body moving in a straight line shown in the figure. The displacement and distance travelled by the body in 6 s are respectively

• A. 8 m, 16 m
• B. 16 m, 8 m
• C. 16 m, 16 m
• D. 8 m, 8 m

Answer 1

Answer: (A)

Displacement is equal to area under velocity-time graph with proper sign
$ \therefore \quad$ Displacement $= 4 \times 2 - 2 \times2 + 2 \times 2 = 8\, m$
Distance is equal to total are under the speed-time graph.
$\therefore \quad$ Distance $= 4 \times 2 + 2 \times 2 + 2 \times 2 = 16 \,m$