Question 37: Motion in 1D

Question

The velocity time graph of a body moving in a straight line is shown in the figure.

The ratio of displacement to distance travelled by the body in time 0 to 10s is :

Accepted Answer

From $v$-t graph
Displacement $=$ Area under curve considering sign also.
Distance $=$ Area under curve considering only magnitude
Displacement $= \Sigma$area $=8$$ 	imes $$2-4$$ 	imes $$2+4$$ 	imes $$4-2$$ 	imes $$4=16 \mathrm{~m}$
Distance $=\Sigma \mid$ area $\mid=48 \mathrm{~m}$
Displacement : distance $=1: 3$

Answer

1 : 1

Answer

1 : 3

Answer

1 : 4

Answer

1 : 2

Motion in 1D

The velocity time graph of a body moving in a straight line is shown in the figure. The ratio of displacement to distance travelled by the body in time 0 to 10s is :

Choose the correct answer: