2. The position of an object moving along x-axis is given by x = a + bt2, where a = 8.5 m and b = 2.5 m/s2 and t is measured in seconds. What is its velocity between t = 0s and t = 2s. What is the average velocity of the object between t = 2 s and t = 4 s?
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Answer:
x = a + bt^2
v = 2bt
Velocity at t = 0 is 0
Velocity at t = 2s is = 2*2.5*2 = 10 m/s
At t = 2s
x = 8.5 + 2.5*2^2
x = 18.5m
At t = 4s
x = 8.5 + 2.5*4^2
x = 48.5m
Average velocity = (48.5 - 18.5) / 2 = 18m/s
Explanation:
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