Question
In: Physics
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 race. Suppose the positive y axis points to the north. (Express your answers in vector form). (a) What is your average velocity for the first leg of the relay race? vav, y = Incorrect: Your answer is incorrect. m/s (b) What is your average velocity for the entire race? vav, y = Correct: Your answer is correct. m/s
Solutions
Expert Solution
Average velocity is defined as
(a) In first leg of the race, the total displacement was 180 m towards north. In vector notation, we can write
And total time of motion was 22.34 seconds.
Therefore, average velocity in the first leg of race was
(b) The total displacement in entire race was 0 m (As initial and final position was same).
So, average velocity in entire race is
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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
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20
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
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