Question

A rock is thrown upward from a bridge that is 71 feet above a road. The rock reaches its maximum height above the road 0.61 seconds after it is thrown and contacts the road 3.25 seconds after it was thrown.

Write a function ff that determines the rock's height above the road (in feet) in terms of the number of seconds tt since the rock was thrown.

F(t)=

**Hint:** the function ff can be written in the
form f(t)=c⋅(t−t1)(t−t2)f(t)=c⋅(t-t1)(t-t2) for fixed numbers cc,
t1t1, and t2t2.

Answer #1

a rock is thrown upward from a bridge that is 72 ft above a
road. The rock reaches its maximum height above the road 0.97
seconds thrown and contacts the road 3.84 seconds after it was
thrown. write a function f that determines the rocks height above
the road (in feet) in terms of the numbers of seconds t since the
rock was thrown

A rock is thrown upward from a bridge that is 76 feet above a
road. The rock reaches its maximum height above the road 0.88
seconds after it is thrown and contacts the road 2.45 seconds after
it was thrown.
Please help
f(t)=

a rock is thrown upward from a bridge into a river below. the
function f(t)=-16t2+32t+94 determines the height of the
rock above the surface of the water (in feet) in terms of the
number of seconds t since the rock was thrown.
(A) what is the bridges height above water?
(B) how many seconds after being thrown does the rock hit the
water?
(C) how many seconds after being thrown does the rock reach its
maximum height above the water?...

A ball is thrown directly upward from the edge of a
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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 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.

An object is thrown upward at a speed of 184 feet per second by a
machine from a height of 8 feet off the ground. The height hh of
the object after tt seconds can be found using the equation
h=−16t2+184t+8
When will the height be 528 feet?
When will the object reach the ground?

An object is thrown upward at a speed of 128 feet per second by
a machine from a height of 13 feet off the ground. The height (h)
of the object after (t) seconds can be found using the equation
h(t)=−16t2+128t+13
When will the height be 269 feet? and When will the object reach
the ground?

rock thrown upward with an initial speed of 24.5 m/s
from the top of a 50m tower.
a. what's the rockets velocity the instant it hits the
ground?
b. how long is it in the air?
c. what's the max height above the building the ball
reaches?

A projectile is thrown straight upward, and its height above the
ground in meters as a function of time in seconds is modeled by
h(t)= 04.9t^2+550t+140
How long will it take for the projectile to be both falling
downward and at a height of 1,350 meters?

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
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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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