Jump !

From what height would I need to jump to fall exactly one second ?

Details and assumptions:

The initial velocity is v 0 = 0 v_0 = 0

g = 10 m/s 2 g = 10 \ \text{m/s}^2


The answer is 5.

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3 solutions

Nazmus Sakib
Oct 1, 2017

S=height

S = 1 2 g t 2 S =\dfrac{1}{2} \cdot g \cdot t^2

S = 1 2 10 1 2 S = \dfrac{1}{2} \cdot 10 \cdot 1^2

S = 5 S = \boxed{5}

What is S ? S?

Munem Shahriar - 3 years, 8 months ago

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For this question this means height

Nazmus sakib - 3 years, 8 months ago

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Then it should be mentioned.

Munem Shahriar - 3 years, 8 months ago

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@Munem Shahriar I've edited it

Nazmus sakib - 3 years, 8 months ago

The general formula for the distance traveled in the time t t by an accelerated object is y = v o t + 1 2 a t 2 y=v_ot+\dfrac{1}{2}at^2 . Here v o = 0 v_o=0 since you simply jump from rest, and the acceleration is a = g = 10 a=g=10 . Hence, we have y = 1 2 g t 2 y=\dfrac{1}{2}gt^2 . So

y = 1 2 ( 10 ) ( 1 2 ) = y=\dfrac{1}{2}(10)(1^2)= 5 \color{#D61F06}\boxed{5}

André Hucek
Oct 1, 2017

t = 2 h g = 1 s h = 5 m t = \sqrt\frac{2h}{g} = 1s \Rightarrow h = 5m .

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