A body decelerates uniformly to a constant speed and after some time it accelerates uniformly Draw the shape of speed time graph for such a motion . Label the three sections of this graph. What is the quantity which is measured by the area occupied under speed time graph ?

Kindly check attached picture

Quantity measured is DISTANCE

Explanation:

Segment AB = measures uniform deceleration

BC = Constant speed moved by the car

CD = Uniform acceleration

During uniform deceleration: the speed of the body is reduced at a constant rate with time.

During Constant Speed, the car maintains a Velocity which does not increase or reduce at a certain time interval.

During uniform acceleration the speed of the car increases at a constant rate with time.

B) THE quantity measured by the area covered under a speed-time graph is distance :

With speed on the vertical (y-axis) and time on the horizontal (x-axis)

Area of trapezium = 0.5(AD + BC) × height

the correct answer is d