Question #66118

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Question #66118

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Answer 1 · 2015-09-29T16:46:56

I found $1.3 m$ $1.3m$

Explanation:

I tried this:
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Answer 2 · 2015-09-30T16:19:12

It's 1.3 meters, correct to 1 decimal place.

Explanation:

Assuming no air resistance, use the formula $v^{2} = u^{2} - 2 a s$ $v^2 = u^2 - 2as$ where $v$ $v$ is the final velocity, which is $0$ $0$ since the coin is at rest in its maximum vertical displacement, $u$ $u$ is the initial velocity, which is $5$ $5$ , $a$ $a$ is the acceleration due to gravity and $s$ $s$ is the displacement of the coin.

So, inputting the values into the formula, you get:
$0^{2} = 5^{2} - 2 \cdot 9.81 \cdot s$ $0^2 = 5^2 - 2*9.81*s$
(The reason I'm using a $-$ $-$ before $2 a s$ $2as$ is because the coin is moving upwards, hence it is acting against gravity, so the value of $a$ $a$ is negative. The original formula is $v^{2} = u^{2} + 2 a s$ $v^2 = u^2 + 2as$ , and since $a$ $a$ is negative, I've incorporated a $-$ $-$ to make the calculations simpler.)

$0 = 25 - 19.62 s$ $0 = 25 - 19.62s$
$0 + 19.62 s = 25 - 19.62 s + 19.62 s$ $0+19.62s = 25 - 19.62s +19.62s$
$19.62 s = 25$ $19.62s = 25$
$s = \frac{25}{19.62}$ $s = 25/19.62$
$s = 1.27$ $s = 1.27$
$s \approx 1.3 m$ $s~~ 1.3m$

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Question #66118

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