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Q.

A body moves in a straight line along Y-axis. Its distance y (in metre) from the origin is given by $y = 8 t - 3 t^{2} .$ The average speed in the time interval from t=0 second to t=1 second is

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a

$- 4 {ms}^{- 1}$

b

Zero

c

$5 {ms}^{- 1}$

d

$6 {ms}^{- 1}$

answer is C.

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Detailed Solution

Body will take U turn at $t = \frac{8}{3} = 2.67 s$ .

From t = 0 to t = 1 s , the average speed and average velocity will be same.

$v = \frac{y_{t = 1} - y_{t = 0}}{1 - 0}$

$\bar{v} = \frac{(8 \times 1 - 3 \times 1 \times 1) - 0}{1} = 5 {ms}^{- 1}$

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A body moves in a straight line along Y-axis. Its distance y (in metre) from the origin is given by y=8t−3t2. The average speed in the time interval from t=0 second to t=1 second is