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# The graph given alongside shows how the speed of a car changes with time:

**(i)** What is the initial speed of the car?

**(ii)** What is the maximum speed attained by the car?

**(iii)** Which part of the graph shows zero acceleration?

**(iv)** Which part of the graph shows varying retardation?

**(v)** Find the distance travelled in first 8 hours."

**(i). **As the slope of the graph starts from point A which indicates $10\ km/h$. So, the initial speed of the car is $10\ km/h$.

**(ii). **The slope of the given speed-time graph of the car is maximum at $35\ km/h$. so, $35\ km/h$ is the maximum speed attained by the car.

**(iii). **In parts B to C, the speed remains constant. So, part BC shows zero acceleration.

**(iv). **In the given graph, speed decreases from C to D. So, the part CD shows varying retardation.

**(v). **The distance traveled in the first $8\ hours$ is equal to the area under AB and BC.

So, the distance traveled by car $=$Area of triangle$+$Area of the rectangle

$=\frac{1}{2}\times(35-10)(3)+35\times(8-3)$

$=37.5+175$

$=212.5\ km/h$

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