Particle Position and Time The position of a particle moving along the x axis depends on...

Particle Position and Time The position of a particle moving along the x axis depends on the time according to the equation x = ct² - bt³, where x is in meters and t in seconds.

(a) What dimension and units must c have?

s²/ms/m² m/s²m²/s

What dimension and units must b have?

m³/ss/m³ s³/mm/s³

For the following, let the numerical values of c and b be 3.3 and 1.0 respectively.

(b) At what time does the particle reach its maximum positive x position?
s

(c) What distance does the particle cover in the first 4.0 s?
m

(d) What is its displacement from t = 0 to t = 4.0 s?
m

(e) What is its velocity at t = 1.0?
  m/s
What is its velocity at t = 2.0?
m/s
What is its velocity at t = 3.0?
  m/s
What is its velocity at t = 4.0 s?
m/s

(f) What is its acceleration at t = 1.0 s?
  m/s²
What is its acceleration at t = 2.0 s?
m/s²
What is its acceleration at t = 3.0 s?
  m/s²
What is its acceleration at t = 4.0 s?
m/s²

Expert Solution

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genius_generous answered 2 years ago

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