Question

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. If the farmer does not enclose the side bordering on the stream, what are the dimensions of the field of the maximum area? write a function that describes this situation.

ANSWER ALL PLEASE

Answer #1

A
ball is thrown directly upward from a height of 3 ft with an
initial velocity of 20 ft/sec. the function s(t) = -16t^2+20t+3
gives the height of the ball, in feet, t seconds after it has been
thrown. Determine the time at which the ball reaches its maximum
height and find the maximum height.

2) An object is thrown upward with an initial velocity of 144
feet per second from an initial height of 160 feet. Use the fact
that the acceleration due to gravity is -32 feet per second per
second to answer the following: a) Using integration, find the
position function giving the height s as a function of time t. b)
At what time will the ball reach maximum height? c) When does the
ball hit the ground? d) What is...

A ball is thrown vertically upward from a height of 5 ft with an
initial velocity of 83 ft/s. The distance s (in feet) of the ball
from the ground after t seconds is s = s(t) = 5 + 83t − 16t^2. (a)
What is the velocity v, in feet per second, of the ball after 2
seconds?
(b) When, in seconds, will the ball reach its maximum height?
(Round your answer to one decimal place.)
(c) What is...

If a ball is thrown upward with a velocity of 64 ft/sec, then
its height after t seconds is s=64t-16t^2. When does the ball reach
its maximum height?

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.

17) A ball is thrown vertically upward from ground level with an
initial velocity of 96 feet per second. Use ?(?) = −32 ??⁄ 2.
a) How long will it take it to rise to its maximum height? b)
What is the maximum height?

A ball is thrown from a point 1.10 m above the ground. The
initial velocity is 19.7 m/s at an angleabove the horizontal. If
the maximum height of the ball aboveground is 7.29 m, what was the
angle atwhich the ball was thrown? Answer in degrees. [Hint:all
information necessary to solve this problemis providedl.]

A ball is thrown directly upward from the edge of a
rock and travels such that after t seconds its height in feet above
the ground is given by the equation s(t) =-2.5t^2+10t+2
1.Find the equation that represents the instant
velocity v(t) of the ball on t time.
2.When does the ball has zero velocity?
3. What is the maximum height that the ball
reaches?
4. When does the ball touches the surface of the
Earth?
5. build the graph...

A ball is thrown from a height of 12.8m above the ground. The
initial velocity of the ball is 21.3m/s at an angle of 25o below
the horizontal. What is the magnitude of the velocity (in m/sec)
just before the ball hits the ground?

An object is launched upward from a platform so that its height
(in feet) above the ground t seconds after it is launched
is given by the function h(t)=-16t^2
+160t+176.
a. When does the object reach its maximum height? What is the
maximum height?
b. When does the object hit the ground?
c. What is the domain and range of this
function (given the context)?
d. Sketch an accurate graph of this function in an
appropriate window. Mark on your...

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