Acceleration of a Falling Object During the construction of an office building, a hammer is accidentally dropped from a height of 256 ft. The distance (in feet) the hammer falls in t sec iss 16t2, what is the hammer's velocity when it strikes the ground?ft/secWhat is its acceleration?ft/sec2Need Help?Read ItTalk to a Tutor

Question
Asked Oct 19, 2019
Acceleration of a Falling Object During the construction of an office building, a hammer is accidentally dropped from a height of 256 ft. The distance (in feet) the hammer falls in t sec is
s 16t2, what is the hammer's velocity when it strikes the ground?
ft/sec
What is its acceleration?
ft/sec2
Need Help?
Read It
Talk to a Tutor
help_outline

Image Transcriptionclose

Acceleration of a Falling Object During the construction of an office building, a hammer is accidentally dropped from a height of 256 ft. The distance (in feet) the hammer falls in t sec is s 16t2, what is the hammer's velocity when it strikes the ground? ft/sec What is its acceleration? ft/sec2 Need Help? Read It Talk to a Tutor

fullscreen
check_circleExpert Solution
Step 1

The hammer is dropped from the height = 256 ft.

The distance the hammer falls in t sec s = 16t2.

Step 2

When hammer hits to the ground, then

162 256
12 =16
t = 4 sec
help_outline

Image Transcriptionclose

162 256 12 =16 t = 4 sec

fullscreen
Step 3

The change in position with respect ...

ds
i.e. v =
dt
v 16 (2t)
v32t
Put t 4sec,
v 32(4)
v 128 ft s
help_outline

Image Transcriptionclose

ds i.e. v = dt v 16 (2t) v32t Put t 4sec, v 32(4) v 128 ft s

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Math

Calculus

Related Calculus Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: g(x)=2x^3+5x^2-28x-15 A) Determine real zero functions B) find x and y intercepts C) determine cross...

A: We check for few xs by plugging them in the given function Of those values x=3 gives g(3)=0This mean...

question_answer

Q: we are supposed to find all these and i do not know how to do this. for this problem.

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question...

question_answer

Q: To find the distance across a river a surveyor chooses points A and B, which are 10ft apart on one s...

A: Given that there are two points A and B on same side of river at 10ft apart and a reference point C ...

question_answer

Q: f(x) = xlog4(22x)

A: To simplify the given logarithmic function.

question_answer

Q: (a) Use logarithmic differentiation to find the derivative of the function. y (In x)seca (b) Find an...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

question_answer

Q: Use a triple integral to find the volume of the solid enclosed by the paraboloid x=3y^2+3z^2and the ...

A: First compute the limit as follows.

question_answer

Q: Can you help me step by step?

A: Given,

question_answer

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole ...

A: A streetlight is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole w...

question_answer

Q: 79, 80, and 81 Find an equation of the tangent line to the curve at the point corresponding to the g...

A: Differentiatig the given set of parametric equations with respect to t, we get