Question #f33b1

1 Answer
Jun 10, 2017

color(blue)[v = 40 "m"/"s"v=40ms

Explanation:

Since the body is falling under the influence of gravity (free fall), we can use the following equation to find the velocity at which the body will hit the ground

color(white)(aaaaaaaaaaaaaaaaaaa)color(orange)[v = sqrt(2hg)}aaaaaaaaaaaaaaaaaaav=2hg

Where
"h = height at which the body falls with respect to some level (m)"h = height at which the body falls with respect to some level (m)
"g = gravitational acceleration constant" (9.8 m/s^2)g = gravitational acceleration constant(9.8ms2)

color(white)(aaa)aaa

Plugin and solve (ignored units)

  • v = sqrt(2hg)->v = sqrt(2xx80xx9.8)v=2hgv=2×80×9.8

  • color(blue)[v = 40 "m"/"s"v=40ms

rounded to 11 significant figure, the number given in the problem.