हिंदी
CISCEISC (Science) ISC Class 11
प्रश्न पत्र१७
अवधारणा स्पष्टीकरण और वीडियो२११
पाठ्यक्रम

Position-time, Velocity-time and Acceleration-time Graphs

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Estimated time: 3 minutes
Maharashtra State Board: Class 11

Key Points: Position-time, Velocity-time and Acceleration-time Graphs

  • Slope of x-t graph = Velocity → Horizontal line (x = constant) = rest; positive slope = uniform velocity along +X axis; negative slope = motion along −X axis; curve = non-uniform velocity.
  • Slope of v-t graph = Acceleration → Horizontal line = zero acceleration (constant velocity); positive slope = constant positive acceleration; negative slope = constant negative acceleration; curve = non-uniform acceleration.
  • Area under v-t graph = Displacement of the object during that time interval.
  • x-t graph shapes → Zigzag/oscillatory curve = oscillatory motion with constant speed; ever-increasing curve = accelerated (non-uniform) motion.
  • Relative Velocity → \[\vec v_{AB}\] = \[\vec v_A\] − \[\vec v_B\]​ and \[\vec v_{BA}\] = \[\vec v_B\] − \[\vec v_A\]; they are always equal in magnitude and opposite in direction.

Shaalaa.com | Straight line motion Part 4 (Distance time graph)

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Straight line motion Part 4 (Distance time graph) [00:07:35]
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Straight line motion Part 4 (Distance time graph)
00:07:35  undefined
Straight line motion Part 15 (Interpretation from VT graph)
00:11:04  undefined
Straight line motion Part 16 (Area under VT curve)
00:05:03  undefined
Straight line motion Part 18 (Problems)
00:12:26  undefined

Related QuestionsVIEW ALL [10]

A person travelling on a straight line moves with a uniform velocity v1 for a distance x and with a uniform velocity v2 for the next equal distance. The average velocity v is given by

The increase in the speed of a car is proportional to the additional petrol put into the engine. Is it possible to accelerate a car without putting more petrol or less petrol into the engine?

The speed-time graph of a particle moving along a fixed direction is shown in Fig. 3.28. Obtain the distance traversed by the particle between (a) t = 0 s to 10 s, (b) t = 2 s to 6 s.

What is the average speed of the particle over the intervals in (a) and (b)

The variation of quantity A with quantity B, plotted in figure describes the motion of a particle in a straight line.

  1. Quantity B may represent time.
  2. Quantity A is velocity if motion is uniform.
  3. Quantity A is displacement if motion is uniform.
  4. Quantity A is velocity if motion is uniformly accelerated.

In figure shows the displacement-time graph of a particle moving on the X-axis. 

A player hits a baseball at some angle. The ball goes high up in space. The player runs and catches the ball before it hits the ground. Which of the two (the player or the ball) has greater displacement?

Rain is falling vertically. A man running on the road keeps his umbrella tilted but a man standing on the street keeps his umbrella vertical to protect himself from the rain. But both of them keep their umbrella vertical to avoid the vertical sun-rays. Explain.

The velocity-time graph of a particle in one-dimensional motion is shown in Figure

Which of the following formulae are correct for describing the motion of the particle over the time-interval t2 to t1?

(a) x(t2) = x(t1) + v(t1)(t2–t1) + (1/2)a(t2–t1)2

(b) v(t2)= v(t1) + a(t2–t1)

(c) vAverage = (x(t2) – x(t1)) / (t2 – t1)

(d) aAverage = (v(t2) – v(t1)) / (t2 – t1)

(e) x(t2) = x(t1) + vAverage(t2 – t1) + (1/2)aAverage(t2 – t1)2

(f) x(t2) – x(t1) = area under the v–t curve bounded by the t-axis and the dotted line shown.

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