The area under velocity time graph represents a. Velocity of the moving object b. Displacement covered by the moving object c. Speed of the moving object
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Answer :- option (b) displacement covered by the moving object.
Explanation :- we know, rate of change of displacement is known as velocity.
I mean, velocity = (final displacement - initial displacement)/time taken
if we write mathematically,
v = ∆x/∆t or, dx/dt
v = dx/dt
v.dt = dx
∫v.dt = ∫dx
Here it is clear that area under velocity time graph (∫v.dt ) is equal to displacement covered by moving object (∫dx).
Explanation :- we know, rate of change of displacement is known as velocity.
I mean, velocity = (final displacement - initial displacement)/time taken
if we write mathematically,
v = ∆x/∆t or, dx/dt
v = dx/dt
v.dt = dx
∫v.dt = ∫dx
Here it is clear that area under velocity time graph (∫v.dt ) is equal to displacement covered by moving object (∫dx).
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