science
Grade-9
Easy

Question

The area under a v-t graph gives the _____ of the body.

  1. Initial velocity
  2. Final velocity
  3. Acceleration
  4. Displacement 

hintHint:

Displacement

The correct answer is: Displacement


    The area under a v-t graph gives the displacement of the body.
    Justification:
    suppose the slope of the velocity-time graph is uniformly increasing.
    The area under the slope = Area of the triangle
    A r e a space u n d e r space s l o p e space equals space 1 half space cross times space t i m e space c o o r d i n a t e s space left parenthesis space b a s e space right parenthesis space cross times space v e l o c i t y space c o o r d i n a t e s space left parenthesis space h e i g h t right parenthesis
    space equals space s space cross times m over s equals space bold italic m

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