Question

A flower pot falling 45 meters hits the ground with a speed of _________.a. about 60 m/s. b. about 120 m/s. c. more than 120 m/s. d. about 30 m/s.

Answer 1

d. about 30 m/s.

Step-by-step explanation:

we use the equation for final speed in free fall:

`v_(f)^2=v_(0)^2+2gh`

where
`v_(f)` is the final speed,
`v_(0)` the initial speed, in this case
`v_(0)=0`,
`g` is the acceleration of gravity
`g=9.8m/s^2` and
`h` is the height:
`h=45m`

so replacing all known values:

we use the equation for final speed in free fall:

`v_(f)^2=0^2+2(9.8m/s^2)(45m)`

`v_(f)^2=882m^2/s^2`

`v_(f)=√(882m^2/s^2) \\v_(f)=29.7m/s`

so the answer is: d. about 30 m/s.