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Standard VII

Physics

Speed

A body moves ...

Question

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

- 4 m / s

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z e r o

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5 m / s

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6 m / s

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Solution

The correct option is C $5 m / s$
Average speed is given by,
$¯ v = \frac{c h a n g e i n d i s t a n c e}{c h a n g e i n t i m e} = \frac{y_{2} - y_{1}}{t_{2} - t_{1}} = \frac{(8 \times 1 - 3 \times 1^{2}) - 0}{1 - 0} = 5 m s^{- 1}$

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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

The correct option is C 5 m/sAverage speed is given by, ¯v=change in distancechange in time=y2−y1t2−t1=(8×1−3×12)−01−0=5 ms−1

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

The correct option is C $5 m / s$
Average speed is given by,
$¯ v = \frac{c h a n g e i n d i s t a n c e}{c h a n g e i n t i m e} = \frac{y_{2} - y_{1}}{t_{2} - t_{1}} = \frac{(8 \times 1 - 3 \times 1^{2}) - 0}{1 - 0} = 5 m s^{- 1}$