Aginormous 43.8 kg acorn dropped drops off a tree. it took 8.1 seconds to hit the ground. a) how fast was it traveling just before it hit the ground? b) how far above the ground was the acorn before it began to fall?

The answers would be the following:

a.) 79.38 m/s

b.) 321.49 m

You might need the solution so here you go:

First things first, you need to understand that this is a free fall motion. Everything no matter the mass is pulled by gravity at the same acceleration of 9.8 m/s² so the given mass will not be needed to solve for the answers:

Here's what we know or was given by the problem:

t = 8.1 s

a = 9.8m/s² (This is constant, because only gravity is acting upon the acorn)

Vi = 0 m/s

For the two problems you will need the following formulas:

a.)

b.

Where:

Vf is the final velocity, before it hits the ground.

Vi is the initial velocity, which is 0 m/s because it was not moving till it fell.

a is the acceleration due to gravity

t is time

d is displacement

Now all you have to do is plug in what you know and solve for what you don't know:

A.

B.

b.

hope this : )