Question
In: Math
The speed of a runner increased steadily during the first three seconds of a race. Her...
The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table. Find lower and upper estimates for the distance that she traveled during these three seconds.
| t (s) | 0 | 0.5 | 1.0 | 1.5 | 2.0 | 2.5 | 3.0 |
| v (ft/s) | 0 | 6.2 | 10.8 | 14.9 | 18.1 | 19.4 | 20.2 |
Solutions
milcah answered 2 years agoRelated Solutions
The speed of a runner increased steadily during the first three seconds of a race. Her...
The speed of a runner increased steadily during the first three
seconds of a race. Her speed at half-second intervals is given in
the table. Find lower and upper estimates for the distance that she
traveled during these three seconds.
t (s)
0
0.5
1.0
1.5
2.0
2.5
3.0
v
(ft/s)
0
6.2
10.8
14.9
18.1
19.4
20.2
Part 1 of 5
We will use either L6 or
R6 for the upper and lower estimates.
Since the runner's speed is...
The speed of a runner increased steadily during the first three seconds of a race. Her...
The speed of a runner increased steadily during the first three
seconds of a race. Her speed at half-second intervals is given in
the table. Find lower and upper estimates for the distance that she
traveled during these three seconds.
ft (smaller value)
ft (larger value)
t
(s)
0
0.5
1.0
1.5
2.0
2.5
3.0
v
(ft/s)
0
6.7
11.2
14.1
17.5
19.8
20
In a relay race, runner A is carrying the baton and has a speed of 2.60...
In a relay race, runner A is carrying the baton and has a speed
of 2.60 m/s. When he is 25.0 m behind the starting line, runner B
starts from rest and accelerates at 0.0600 m/s2. How long
afterwards will A catch up with B to pass the baton to B?
A runner was tested on a treadmill. During the test, his speed x (in km/h) and...
A runner was tested on a treadmill. During the test, his speed x
(in km/h) and his heart rate y were measured. The results are shown
in the table.
y
126
137
149
163
180
193
x
7
9
11
13
15
17
(a) Test for the significance of regression using the analysis of
variance with α=0.01. Find the P-value for this test. Can you
conclude that the model specifies a useful linear relationship
between these two variables?
We Choose...
The number of commercial airline boardings on domestic flights increased steadily during the 1990s as shown...
The number of commercial airline boardings on domestic flights
increased steadily during the 1990s as shown in the table below.
Let f(t) be the number of commercial airline boardings on domestic
flights (in millions) for the year that is t years since 1990.
Numbers of Commercial Airline Boardings on Domestic Flights
f f(x)
Year Number of Boardings (millions)
1991 452
1995 547
1997 599
1999 635
2000 666
Find an equation of f.
During a relay race, you run the first leg of the race, a distance of 1.8...
During a relay race, you run the first leg of the race, a
distance of 1.8 ✕ 102 m to the north, in 22.34 s. You then run the
same distance back to the south in 24.20 s in the second leg of the
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your answers in vector form). (a) What is your average velocity for
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During the first half of a 3.0 mile bike race with a friend of yours, your...
During the first half of a 3.0 mile bike race with a friend of
yours, your friend bikes the whole way at a constant speed of 23
mi/hr. You start from rest and accelerate constantly from the
beginning. You both are neck-and-neck at the half-way point of the
race. For the second half of the race, you maintain the same speed
you had at the half-way point. How much faster does your friend
need to bike in order to tie...
17) During the first half of a 2.0 mile bike race with a friend of yours,...
17) During the first half of a 2.0 mile bike race with a friend
of yours, your friend bikes the whole way at a constant speed of 22
mi/hr. You start from rest and accelerate constantly from the
beginning. You both are neck-and-neck at the half-way point of the
race. What was your acceleration rate? Answer: Not yet correct,
tries 1/35 Hint: What kind of diagram(s) might help you analyze
this question? Do you need calculus to solve this problem?...
A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds...
A model rocket is fired vertically upward from rest. Its
acceleration for the first three seconds is given by a(t) = 60t
ft/s2 , at which time the fuel is exhausted and it becomes a freely
“falling” body and falls to the ground.
(a) Determine the position function s(t) for all times t >
0.
(b) What is the maximum height achieved by the rocket? (
c) At what value of t does the rocket land?
A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds...
A model rocket is fired vertically upward from rest. Its
acceleration for the first three seconds is a(t)=96t, at which time
the fuel is exhausted and it becomes a freely "falling" body. 1919
seconds later, the rocket's parachute opens, and the (downward)
velocity slows linearly to −16 ft/s in 5 s. The rocket then
"floats" to the ground at that rate.
(a) Determine the position function s and the velocity function
v(for all times t).
v(t)=
if 0≤t≤3
...
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