Check sibling questions
Class 9
Chapter 8 Class 9 - Motion (Term 1)

Find Displacement and Acceleration in region OA and OB. Also tell the type of motion in both the regions. And find the total displacement

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Marking point C in the graph

Β 

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Motion in region OA = Uniformly accelerated

Motion in region OB = Uniformly retarded

Β Total Displacement = Area of βˆ†ABO

Β = Area of βˆ†OAC + Area of βˆ†ABC

Β = 4m + 4m

Β = 8mΒ Β 


Transcript

Region OA Acceleration = Slope of OA = (𝑦_2 βˆ’ 𝑦_1)/(π‘₯_2 βˆ’ π‘₯_1 ) = (4 βˆ’ 0)/(2 βˆ’ 0) = 4/2 = 2 m/s2 Displacement = Area under v – t graph = Area of βˆ†OAC = 1/2 Γ— b Γ— h = 1/2 Γ— 2 Γ— 4 = 4 m Region AB Acceleration = Slope of BA = (𝑦_2 βˆ’ 𝑦_1)/(π‘₯_2 βˆ’ π‘₯_1 ) = (0 βˆ’ 4)/(0 βˆ’ 2) = (βˆ’4)/2 = βˆ’2 m/s2 Displacement = Area under v – t graph = Area of βˆ†ABC = 1/2 Γ— b Γ— h = 1/2 Γ— 2 Γ— 4 = 4 km

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