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Question: Which of the following changes when a particle is moving with uniform velocity, the average velocity...

Which of the following changes when a particle is moving with uniform velocity, the average velocity of the object between t = 2 s and t = 4 s is

A

5 m s-1

B

10 m s -1

C

15 m s-1

D

20 m s-1

Answer

15 m s-1

Explanation

Solution

Average velocity, v=(x)t=4(x)t=242\overline{v} = \frac{(x)_{t = 4} - (x)_{t = 2}}{4 - 2}

v=(a+b(4)2)(a+b(2)2)42=(a+16b)(a+4b)42=6b=6(2.5)ms1=15ms1\overline{v} = \frac{(a + b(4)^{2}) - (a + b(2)^{2})}{4 - 2} = \frac{(a + 16b) - (a + 4b)}{4 - 2} = 6b = 6(2.5)ms^{- 1} = 15ms^{- 1}