Problem 1 The velocity of a particle moving along the x axis varies in time according to the expression v = (40 – 50 t2 )  m/s where t is in seconds. Find the instantaneous velocity in km/h at t=0 and t = 2 s. Find the average acceleration in the time interval t = 0 and t = 2 s. Find the instantaneous acceleration in m/s2 at t = 2 s. Draw the velocity-time graph for the particle and show the instantaneous acceleration at t=2s on this graph. Could you kindly answer the points and explain it to me?

Question

Problem 1

The velocity of a particle moving along the x axis varies in time according to the expression v = (40 – 50 t2 )  m/s where t is in seconds.

  • Find the instantaneous velocity in km/h at t=0 and t = 2 s.
  • Find the average acceleration in the time interval t = 0 and t = 2 s.
  • Find the instantaneous acceleration in m/s2 at t = 2 s.
  • Draw the velocity-time graph for the particle and show the instantaneous acceleration at t=2s on this graph.

Could you kindly answer the points and explain it to me? 

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