text: # The slope of a velocity - time graph (v-t) gives-
  
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  Airforce Group X 5 November 2020 Memory Based Paper
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  1. Average velocity
  2. Displacement
  3. Force
  4. Acceleration
  
  ## Answer (Detailed Solution Below)
  
  Option 4 : Acceleration
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  ## Detailed Solution
  
  The correct option is 4.
  
  CONCEPT:
  
  • Velocity (v): The rate of change of position i.e. rate of displacement with time is called velocity.
  
  $$v = \frac{{{s_2} - {s_1}}}{{{t_2} - {t_1}}} = \frac{{{\rm{\Delta }}s}}{{{\rm{\Delta }}t}}$$
  
  Where s2 = displacement of the object at t2 and s1 = displacement of the object at t1
  
  • It is a vector quantity.
  
  EXPLANATION:
  
  • The slope of any graph is the ratio of the vertical change between two points to the horizontal change between the same points.
  • In a velocity-time graph, the velocity (v) is present on the vertical axis while time (t) on the horizontal axis, so the slope of the graph is given by
  
  $${\rm{Slope}} = \frac{{{\rm{\Delta }}v}}{{{\rm{\Delta }}t}}$$
  
  • Since the rate of change of velocity is termed as acceleration, the slope of a velocity-time graph gives the acceleration.
  Latest Airforce Group X Updates
  
  Last updated on Jan 23, 2024
  
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