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Question: Area under a speed-time graph gives. A. The time is taken by the moving object B. The distance t...

Area under a speed-time graph gives.
A. The time is taken by the moving object
B. The distance traveled by the moving object
C. The acceleration of a moving object
D. The retardation of a moving object

Explanation

Solution

Velocity is what a body possesses within itself due to its motion.
When a body moves away from its initial position with time then the body has gained some velocity. Velocity is described as the rate of change of displacement concerning the time.

Complete step by step solution:
Velocity time graph will give whether the object is moving with constant speed or is under acceleration or retardation. If the speed is constant then the graph is horizontal.
The area under the curve will give the distance traveled. If the Ascending is increasing at the constant rate we will get a line if it's varied then we will get a curved line.
From the velocity-time graph, we can calculate the
Displacement of the body in a certain time interval
Acceleration of the body.
If the acceleration is zero, and velocity is constant, then it will remain constant throughout the time.
When the acceleration of a particle is constant, the initial velocity is zero, then the velocity increases linearly. The velocity-time graph slope gives the acceleration.
The acceleration is a function of time and the initial velocity is zero, then the velocity-time graph will be a curve. The slope will give the acceleration at that time
So, the correct answer is option (B).

Note:
Usually, the Velocity-time graphs are used to describe the motion of objects and they are moving in a straight line.
They used to represent the acceleration and to work
Speed-time graphs are useful when we define the movement of an object.