Question

You attach a meter stick to an oak tree, such that the top of the meter stick is 1.87 meters above the ground. Later, an acorn falls from somewhere higher up in the tree. If the acorn takes 0.311 seconds to pass the length of the meter stick, how high ℎ0 above the ground was the acorn before it fell, assuming that the acorn did not run into any branches or leaves on the way down? Please define what your variables mean.

Answer #1

By using second kinematics,

S = u*t + 0.5*a*t^2

here, S = height of meterstick = 1.87 m

u = speed of acorn at top of the meter stick = ??

a = acceleration in vertical direction = g = 9.81 m/s^2

t = time taken to pass through length of the meter stick = 0.311 s

then,

1.87 = u*0.311 + 0.5*9.81*0.311^2

u = (1.87 - 0.5*9.81*0.311^2)/0.311

u = 4.49 m/s

Now, by using third kinematics law,

V^2 - U^2 = 2*a*h

here, here, V = final speed of acorn at top of meter stick = u = 4.49 m/s

U = initial pseed of acorn = 0 (As, free fall)

h = height of acorn above meter stick = ??

then,

h = (4.49^2 - 0^2)/(2*9.81)

h = 1.03 m

So,

Total height of acorn above the ground will be:

h0 = S + h

h0 = 1.87 + 1.03

**h0 = 2.9 m**

"Let me know if you have any query."

Please read the article and answear about
questions.
Determining the Value of the Business
After you have completed a thorough and exacting investigation,
you need to analyze all the infor- mation you have gathered. This
is the time to consult with your business, financial, and legal
advis- ers to arrive at an estimate of the value of the business.
Outside advisers are impartial and are more likely to see the bad
things about the business than are you. You should...

Sign In
INNOVATION
Deep Change: How Operational Innovation Can Transform Your
Company
by
Michael Hammer
From the April 2004 Issue
Save
Share
8.95
In 1991, Progressive Insurance, an automobile insurer based in
Mayfield Village, Ohio, had approximately $1.3 billion in sales. By
2002, that figure had grown to $9.5 billion. What fashionable
strategies did Progressive employ to achieve sevenfold growth in
just over a decade? Was it positioned in a high-growth industry?
Hardly. Auto insurance is a mature, 100-year-old industry...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 8 minutes ago

asked 18 minutes ago

asked 52 minutes ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 4 hours ago

asked 4 hours ago

asked 5 hours ago