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प्रश्न
How can you find the following?
Velocity from a displacement – time graph.
उत्तर
Velocity from a displacement – time graph: Displacement time graph for uniform motion in a straight line (OP) inclined to the time axis. Take any two points A and B on this graph OP. From A and B, draw perpendiculars on the time axis as well as the displacement axis.
So, by knowing the slope of displacement – time graph. We can find the velocity of the body.
Such that,
OA1 = t1, OB1 = t2, OA2 = x1 and OB2 = x2
Slope of displacement – time graph = `"BC"/"AC"`
= `("x"_2-"x"_1)/("t"_2-"t"_1)=(Δ"x")/(Δ"t")` = Velocity of the body
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संबंधित प्रश्न
Fill in the following blank with suitable word :
Displacement is a…………………… quantity whereas distance is a………………………….
Clarify the difference.
Distance and displacement
When is the magnitude of displacement equal to the distance?
A bird sitting on a wire, flies, circles around and comes back to its perch. Explain the total distance it traversed during its flight and its eventual displacement.
How can you find the following?
Displacement from velocity – time graph.
A motorbike running at 90 kmh−1, is slowed down to 54 kmh−1 by the application of brakes, over a distance of 40 m. If the brakes are applied with the same force, calculate
- total time in which bike comes to rest
- total distance travelled by bike.
A body is moving along a circular path of radius r. What will be the distance and displacement of the body when it completes:
Half a revolution
Ashok starts from his house and travels 3 km to reach his school. On finding the school gates closed, he returns to his house. What is?
The displacement of Ashok
Geetha takes 15 minutes from her house to reach her school on a bicycle. If the bicycle has a speed of 2 m/s, calculate the distance between her house and the school.
Assertion: Displacement of a body may be zero when distance travelled by it is not zero.
Reason: The displacement is the shortest distance between initial and final position.
