Why the graph of positive acceleration is like a curve open upwards. 

Asked by Ch | 13th May, 2017, 03:01: PM

Expert Answer:

  • Acceleration is a physical quantity which describes the state motion depending upon the rate of change of velocity with respect to the change in time.
  • In simple words, it is the ratio of the rate of change of velocity (of a moving object) with respect to the rate of change of time (for which the object moves).
  • The graph of acceleration is usually illustrated on a velocity-time graph.
  • Positive acceleration is said to be gained by a body in motion when there is a continuous increase in velocity with respect to increasing time duration of the motion.
  • The graph of positive acceleration is an upward curve because it explains the nature of positive acceleration which is due to a relatively large increase in velocity (y-axis rising curve) in a relatively lesser span of time (x-axis, the width of that curve).
  • Therefore a curve develops a shape which is rising in an upward direction while the width of the curve is comparatively less.
  • That is why the graph of positive acceleration is like a curve open upwards. 

Answered by Abhijeet Mishra | 14th May, 2017, 11:24: AM