Physics, asked by marsalhembram04, 9 months ago

Figure given above shows the velocity-time graphs for two cars A and B moving in the same direction. Which car has greater acceleratio? Give reason to your answer​

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Answered by zahaansajid
0

Answer:

Car B has more acceleration than car A

Explanation:

Acceleration is defined as the rate of change of velocity per unit time

Mathematically it is represented as,

Acceleration = Change in Velocity / Time taken

a = Δv / Δt

For any given graph to find the slope we take,

Slope = Change in y-coordinate / Change in x-coordinate

Slope = (y₂ - y₁) / (x₂ - x₁)

Hence for a Velocity - Time Graph,

Slope = (y₂ - y₁) / (x₂ - x₁)

Slope = Change in velocity / Change in time

Change in time implies the time taken

Hence,

Slope = Change in velocity / Time taken

Slope = Acceleration

Hence,

Slope of Velocity - Time graph gives acceleration

We also know that,

Slope = tanθ

Hence,

if θ increases, value of tanθ also increases

if tanθ increases, value of slope increases

Therefore,

the car having a larger angle with the X-axis (larger θ) will have more slope which in turn implies as the acceleration

Since, slope of car B is greater than slope of car A

acceleration of car B is greater than slope of car A

Answered by sainimannat2020
1

Answer:

since the slope of VT graph for car b is greater than that of car a the acceleration of the car we would be greater than that of car A

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