A ball is dropped from the top of a 100m high tower on a planet. In...

A ball is dropped from the top of a

100m

high tower on a planet. In the last

\dfrac{1}{2}s

before hitting the ground, it covers a distance of

19m .

Acceleration due to gravity (in

m{s}^{- 2}

) near the surface on that planet is______ A ball is dropped from the top of a 100m high tower on a planet. In the last (1)/(2)s before hitting the ground, it

Correct answer

Step-by-step solution

A ball is dropped from the top of a 100m high tower on a planet. In the last (1)/(2)s before hitting the ground, it
$\dfrac{g{\left[t - \dfrac{1}{2}\right]}^{2}}{2} \times \dfrac{1}{2} = 81$ ... (1)
$\dfrac{1}{2}g{t}^{2} = 100$ …. (2)
devide equation \left(1\right) \text{ $and$ } \left(2\right) $ $ \dfrac{t}{t - \dfrac{1}{2}} = \dfrac{10}{9} $$ t = 5s $put t in equation \left(2\right)$

$g = 8\dfrac{m}{{s}^{2}}$

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