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Area under v-t graph

The area of ...

Question

The area of __________ formed by the v-t graph bounded by the time axis gives the displacement in a uniform motion.

A

Triangle

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B

Trapezium

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C

Rectangle

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D

None of the above

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Solution

The correct option is C Rectangle
Since it is a uniform motion,hence velocity is constant and is represented by a line parallel to the time axis. Hence the shape formed by the v-t graph will be a rectangle.

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Similar questions

Q. Fill in the following blanks with suitable words :
(a) If a body moves with uniform velocity, its acceleration is ___________.
(b) The slope of a distance-time graph indicates ___________ of a moving object.
(c) The slope of a speed-time graph of a moving body gives its ___________.
(d) In a speed-time graph, the area enclosed by the speed-time curve and the time axis gives the ___________ by the body.
(e) It is possible for something to accelerate but not change its speed if it moves in a ___________.

Q. Fill in the blanks with the correct words.

1. A motion that repeats itself at equal intervals of time is called .................... (periodic motion/pendulum).
2. Motion is the change in the position of a body with respect to ...................(distance/time).
3. The slope of the distance-time graph of a body gives its .................... (speed/distance travelled).
4. If the speed of a body is zero, its distance-time graph will be a straight line parallel to the .................... (distance/time) axis.
5. A curved distance-time graph represents .................... (uniform/non-uniform) motion.

For uniform motion :

(a) the distance-graph is a straight line parallel to the time axis.

(b) the speed-time graph is a straight line inclined to the time axis.

(c) the speed-time graph is a straight line parallel to the time axis.

(d) the acceleration-time graph is a straight line parallel to the time axis.

Draw the v-t graph of uniform motion & The area under the v-t graph gives the displacement of the particle in a given time.

Q. Draw a velocity-time graph for an object in uniform motion show that the area under the velocity-time graph gives the displacement of the object in the given time interval.

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