A ball is thrown vertically upwards with a velocity of $x m s^{- 1}$ . If the maximum height reached by the ball is $20 m$ , then the value of $x$ =__________ $m s^{- 1} .$

$10$

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$15$

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$20$

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$25$

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Solution

The correct option is C
$20$

Step 1:Given data and formula used
Given:
Acceleration $a = 10 m s^{- 2}$
Maximum Height $H = 20 m$
The formula for Initial velocity of projection
$u = \sqrt{2 g H}$
Step 2:Calculation of Initial velocity of projection
On putting the given value in the above formula
$v = \sqrt{2 \times 10 \times 20} = 20 \frac{m}{s}$
Hence, the correct option is (c).

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A ball is thrown vertically upwards with a velocity of xms–1. If the maximum height reached by the ball is 20m, then the value of x =__________ms–1.

A ball is thrown vertically upwards with a velocity of $x m s^{- 1}$ . If the maximum height reached by the ball is $20 m$ , then the value of $x$ =__________ $m s^{- 1} .$