4. an acorn is falling from 13 feet in the air. it
it descends 4.8 feet every second, write and
solve an equation to determine how long it will
take for the acorn to be 1 foot above the
ground.
equation:
solution:

The time time for the Acorn to descends from 13 feet to  1 feet is 52.25 seconds

Step-by-step explanation:

Given as :

The initial height of acorn = 13 feet in air

The rate of its descends = r = 4.8 feet every seconds

The final height of acorn = 1 feet

Le the time period of its descends = t sec

According to question

final height of acorn after t sec= initial height of acorn ×

Or, 1 feet = 13 feet ×

Or, 1 feet = 13 feet ×

Or, =

Or, 0.07693 =

Taking log both side

Log 0.07693 = Log ( )

or, - 1.113 = t Log (0.952)       ( from log property )

Or,  - 1.113 = t ( - 0.0213 )

∴  t =

I.e t = 52.25 sec

So , The descending time is t = 52.25 seconds

Hence The time time for the Acorn to descends from 13 feet to  1 feet is 52.25 seconds  Answer

after simplifying it i got: -36.25 as my answer. hope that !