A man stands on a crane and throws a water balloon down at at 21 m/s. He finds that it takes 2.4s for the balloon to hit the ground. How far has the balloon fallen when it is travelling 40.3 m/s?

Question

A man stands on a crane and throws a water balloon down at at 21 m/s. He finds that it takes 2.4s for the balloon to hit the ground. How far has the balloon fallen when it is travelling 40.3 m/s?

1 Answer

Impact of this question

2333 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-08-30T23:00:09

The balloon has fallen 60.4 meters.

Explanation:

You know that the ballon was thrown where the man sits with an initial velocity of 21 m/s.

Moreover, you know that it took the balloon 2.4 seconds to hit the ground. To figure out the distance it travelled when its velocity was equal to 40.3 m/s, you need to use the formula

$v^{2} = v_{0}^{2} + 2 \cdot g \cdot h$ $v^2 = v_0^2 + 2 * g * h" "$ , where

$v$ $v$ - the velocity at which you measure the distance, i.e. 40.3 m/s;
$v_{0}$ $v_0$ - the initial velocity of the balloon;
$h$ $h$ - the distance it covered before it reached the velocity $v$ $v$ ;

Rearrange that equation to solve for $h$ $h$

$h = \frac{v^{2} - v_{0}^{2}}{2 \cdot g}$ $h = (v^2 - v_0^2)/(2 * g)$

$h = ((40.3""^2 - 21^2)"m"^color(red)(cancel(color(black)(2)))/color(red)(cancel(color(black)("s"^2))))/(2 * 9.8color(red)(cancel(color(black)("m")))/color(red)(cancel(color(black)("s"^2)))) = color(green)("60.4 m")$

Science

Math

Humanities

... and beyond

A man stands on a crane and throws a water balloon down at at 21 m/s. He finds that it takes 2.4s for the balloon to hit the ground. How far has the balloon fallen when it is travelling 40.3 m/s?

1 Answer

Explanation:

Related questions

Impact of this question