Question

- A stone is thrown straight up from the roof of a 384-foot
building. The distance of the stone from the ground (in
feet) at any time
*t*(in seconds) is given by h(t)=-16t^2+80t+384

a). When is the stone rising

b). If the stone were to miss the building, when would it hit the ground?

c). When is it falling?

Answer #1

A stone is thrown straight up from the edge of a roof, 950 feet
above the ground, at a speed of 14 feet per second.
A. Remembering that the acceleration due to gravity is -32 feet
per second squared, how high is the stone 3 seconds later?
B. At what time does the stone hit the ground?
C. What is the velocity of the stone when it hits the
ground?

A ball is thrown straight up from the edge of the roof of a
building. A second ball is dropped from the roof a time of 1.17 s
later. You may ignore air resistance
A.
If the height of the building is 20.3 m, what must the initial
speed be of the first ball if both are to hit the ground at the
same time?
Express your answer in meters per second.
B.
Consider the same situation, but now let...

A
ball is thrown straight up from the too of a building 128 ft. tall
with qn initial velocity of 48 ft per second. The distance s(t) (in
feet) of the ball from the fround is given by s(t)=128+48t-16t^2.
Find the maximum height attained by the ball.

A ball is thrown straight down from the top of a 497-foot
building with an initial velocity of -15 feet per second. Use the
position function below for free-falling objects.
s(t) = -16t2 +
v0t + s0
What is its velocity after 2 seconds?
v(2) = ft/s
What is its velocity after falling 316 feet?
v = ft/s

From the roof of the Empire State Building, you throw a coin up
in the air and then watch it fall down, down, down to the street.
The height of the coin (in feet) after tt seconds is given by
h(t)=-16t^2+100t+1250h(t)=−16t2+100t+1250.
After 12.512.5 seconds, the coin hits the street. How fast is
the coin moving when it hits the street?

A stone is thrown straight down from the top of a building with
an initial speed of 2.23 m/s. The height of the building is 18.2 m.
You can assume air resistance is negligible
(a) Find the time it takes for the stone to reach the ground.
s
(b) Find the distance the stone travels within the last 1.00 s.
m

11. a ball is thrown up from the ground with an initial velocity
of 120 feet per second. The height s in feet can be expressed as a
function of time t in seconds by s(t)=85t-16t^2 a. when does the
ball reach its maximum height b. what is the maximum height c. when
does the ball hit the ground
12. a farmer has 2800 feet of fencing material with which to
enclose a rectangle field that borders a straight stream....

1. A stone is thrown straight downward with initial speed of 4.1
m/s from a height of 86 m. What is the time it takes to reach the
ground?
2. You drop a stone into a 300 meter deep well. How long after
you will hear the sound of hitting? Sound velocity is given 334
m/s.
3. You throw a stone vertically upward from the roof of an 39 m
tall building with a velocity of 54 m/s. How long...

A
ball is thrown from the roof of a building. The initial velocity
vector is at an angle of 53.0° above the horizontal. It is at
maximum height in 1.04 seconds. Express all vectors in terms of
unit vectors i and j. The ball strikes the ground at a horizontal
distance from the building of 33.1 meters.
a.) What is the vertical velocity (vector) at t=1.04
seconds?
b.) What is the initial vertical velocity (vector)?
c) What is the inital...

A
stone thrown vertically on Mars. Suppose a stone is thrown
vertically upward from the edge of a cliff on Mars (where the
acceleration due to gravity is only about 12 ft/s^2) with an
initial velocity of 64 ft/s from a height of 192 ft above the
ground. The height S of the stone above the ground after t seconds
is given by s=-6t^2+64t+192
a. Determine the velocity v of the stone after t seconds
b. When does the stone...

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