Question

8.
The variation of velocity of a particle moving along a straight line is as shown in the figure given below. The
distance travelled by the particle in 5 s is
A B
20+
v (m/s)
10+
0
DEC
+
1 2 3 4 5
t(s)
(2) 30 m
(4) 50 m
(1) 60 m
(3) 40 m​

Answer 1

Explanation:

We know, the area of v - t graph gives us the measure of distance traveled by any body.

• Area of ️ triangle OAD = 1/2×base×height

=> 1/2 × 3 × 20

=> 3 × 10

=> 30 sq. units

• Area of ABDE (rectangle) = length × breadth

=> 20 × 1

=> 20 sq. units

• Area of triangle ️ EBC = 1/2 × base × height

=> 1/2 × 1 × 20

=> 10 × 1

=> 10 sq. units

So, the total area of v - t graph = ️ OAD + ️ EBC + Rectangle ABDE

= 30 + 10 + 20

= 60 sq. units

Option (1) 60 m is the distance traveled by the particle.

Hope it was correct and helpful ans...