How fast is it going when it hits the ground? (in m/s)

161

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160

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159

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157

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Solution

The correct option is C $161$
Taking upward direction to be positive.
Acceleration due to gravity $g = - 9.8 m / s^{2}$
Initial velocity of missile $u = - 80 m / s$
Displacement of missile $S = - 1000 m$
Using $v^{2} - u^{2} = 2 g S$
$∴ v^{2} - (- 80)^{2} = 2 (- 9.8) (- 1000)$
$⟹ v = 161 m / s$

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Similar questions

The heights (in cm) of 30 students of class VIII are given below:

155, 158, 154, 158, 160, 148, 149, 150, 153, 159, 161, 148, 157, 153, 157, 162, 159, 151, 154, 156, 152, 156, 160, 152, 147, 155, 163, 155, 157, 153.

Prepare a frequency distribution table with 160-164 as one of the class intervals.

Q. A stone is dropped from a balloon going up with a uniform velocity of

5.0 m/s

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A stone is dropped from a height of 20 m.
(i) How long will it take to reach the ground ?
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Q. A flowerpot falls from a windowsill

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Q. Question 4 (i)
The heights of 50 students, measured to the nearest centimeters, have been found to be as follows:

\begin{matrix} 161 & 150 & 154 & 165 & 168 & 161 & 154 & 162 & 150 & 151 162 & 164 & 171 & 165 & 158 & 154 & 156 & 172 & 160 & 170 153 & 159 & 161 & 170 & 162 & 165 & 166 & 168 & 165 & 164 154 & 152 & 153 & 156 & 158 & 162 & 160 & 161 & 173 & 166 161 & 159 & 162 & 167 & 168 & 159 & 158 & 153 & 154 & 159 \end{matrix}

(i) Represent the data given above by a grouped frequency distribution table, taking the class intervals as 160 - 165, 165 - 170, etc.

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How fast is it going when it hits the ground? (in m/s)

The correct option is C 161Taking upward direction to be positive.Acceleration due to gravity g=−9.8 m/s2Initial velocity of missile u=−80 m/sDisplacement of missile S=−1000 mUsing v2−u2=2gS∴ v2−(−80)2=2(−9.8)(−1000)⟹ v=161 m/s

The correct option is C $161$
Taking upward direction to be positive.
Acceleration due to gravity $g = - 9.8 m / s^{2}$
Initial velocity of missile $u = - 80 m / s$
Displacement of missile $S = - 1000 m$
Using $v^{2} - u^{2} = 2 g S$
$∴ v^{2} - (- 80)^{2} = 2 (- 9.8) (- 1000)$
$⟹ v = 161 m / s$