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Q.

The position of an object moving along x-axis is given by $X = a + b t^{2}$ where a=8.5m $b = 2.5 m s^{- 2}$ , and t is measured in seconds. Then which of the following is true ?

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a

velocity at t=4 sec is 10 m/s

b

velocity at t=2 sec is zero

c

average velocity between t=2, t=4 sec is 15 m/s

d

all the above are true

answer is B.

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Detailed Solution

$v = \frac{d x}{d t} = 2 b t = 5 t$

$x = a + b t^{2}$

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