Question

Velocity-time graph of a body moving with uniform acceleration is shown in the diagram. The distance traveled by the body in 3 seconds is.

• A. 90 m
• B. 45 m
• C. zero
• D. 10 m

Answer 1

The correct option is B

45 m

1. The area under the v–t graph represents the distance.
2. So, its a triangle with , base 3 and height 30 units
3. Area = ½ base x height

Distance travelled $=\frac{1}{2}\mathrm{x}30\mathrm{x}3=45\mathrm{m}.$

Hence, the correct option is (B).