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Example 3.2 The position of an objectmoving along x axis is given by x-a + bt2where a 8.5 m, b 2.5 m s2 and t ismeasured in seconds. What is its velocity att 0 s and t 2.0 s. What is the averagevelocity between t-2.Os and t 4.0 s ?

Answer»

X = a + bt^2v = 2bt

Velocity at t = 0 is 0Velocity at t = 2s is = 2*2.5*2 = 10 m/s

At t = 2sx = 8.5 + 2.5*2^2x = 18.5m

At t = 4s x = 8.5 + 2.5*4^2x = 48.5m

Average velocity = (48.5 - 18.5) / 2 = 18m/s



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