Discussion Forum



1)

The velocity-time graph of a body moving in a straight line is shown in fig. Find the displacement and distance travelled by the body in 10 seconds

432021628_download (1).png


A) 50 m, 90m

B) 5m , 9m

C) 9m , 5m

D) 90m , 50m

Answer:

Option A

Explanation:

 

432021415_images.png

Total distance covered in 10 s = Area 1 + Area 2 + Area 3

$\frac{1}{2}\times6\times20+\frac{1}{2}\times2\times20+\frac{1}{2}\times2\times10$

= 90m

Total displacement in 10s = Area 1 - Area 2 +Area 3

$\frac{1}{2}\times6\times20- \frac{1}{2}\times2\times20+\frac{1}{2}\times2\times10$

= 50m