
An object is moving in a given direction with a definite velocity. Draw velocity-time and displacement-time graphs for the object.
Answer
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Hint:Velocity of the given object is equal to the displacement travelled by the body in one second. We also know that the displacement of a given body is equal to the minimum distance between the starting and ending point. We will use the concept of velocity, displacement and time to draw the velocity-time and displacement-time graphs.
Complete step by step answer:
It is given that the velocity of the given object in a given direction has a definite value which means that velocity is not changing with respect to time. Therefore we can say that the velocity of the given object is not changing with respect to time and it can be represented on the velocity-time graph as a constant line parallel to the time axis.
We know that change of displacement with respect to time gives us the velocity and it is given that the velocity of the given object is a definite value; therefore we can say that the rate at which displacement is changing with time is also constant and that can only be possible when there is a straight line of displacement time graph is obtained. Hence we can draw displacement time graph for the given object as below:
Note:We know that acceleration of a body is directly proportional to the change of velocity with respect to the time, but it is given that velocity does not change as time progresses; therefore we can conclude that acceleration of the body is zero.
Complete step by step answer:
It is given that the velocity of the given object in a given direction has a definite value which means that velocity is not changing with respect to time. Therefore we can say that the velocity of the given object is not changing with respect to time and it can be represented on the velocity-time graph as a constant line parallel to the time axis.
We know that change of displacement with respect to time gives us the velocity and it is given that the velocity of the given object is a definite value; therefore we can say that the rate at which displacement is changing with time is also constant and that can only be possible when there is a straight line of displacement time graph is obtained. Hence we can draw displacement time graph for the given object as below:
Note:We know that acceleration of a body is directly proportional to the change of velocity with respect to the time, but it is given that velocity does not change as time progresses; therefore we can conclude that acceleration of the body is zero.
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