hits the ground? 3) [Horizontal-ish] The position of a 12 kg mass can be described as a function of time, t, by 3(t)3(3t²-45t+ 162)m i , if time, t, is in seconds. (Acceleration is constant) a) What is the mass's initial position: |62 mi ii. initial velocity: 45m/s iii. acceleration: 6m/s i. b) At what time is the mass stopped? c) What is the average velocity, v, of the object between the time the object is stopped and 10 s after it is stopped. d) For the same duration as above, what is the average acceleration, a, of the object? 4) [Horizontall A block's velocitu go

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Chapter2: Vectors
Section: Chapter Questions
Problem 61P: In the control tower at a regional airport, an air traffic controller monitors two aircraft as their...
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Number 3 parts b-d

at the same instant of time. Ignore the effects of air.
a) Which ball will take longer to hit the ground? same time (Same Initia) hoight, Speed acceloration
b) What is the difference in time for the two balls to hit the ground? no differena
c) If Ball B were released 1 second before ball A, at what height will ball A catch up to ball B? 4t the grane
2) [Vertical] A green ball (m 2 kg) is dropped from a height of 8.00 m above the ground. At the
moment it is dropped, a red ball (m = 3 kg) is shot straight up into the air from the ground (but not so
that the two balls collide). How fast does the red ball need to be shot in order for it to land on the
ground at the same time the green ball hits the ground?
3) [Horizontal-ish] The position of a 12 kg mass can be described as a function of time, t, by
s(t)%3D(3t²-45t+ 162)m i , if time, t, is in seconds. (Acceleration is constant)
|
a) What is the mass's
i. initial position: 2 mi
b) At what time is the mass stopped?
c) What is the average velocity, v, of the object between the time the object is stopped and 10 s after
it is stopped.
d) For the same duration as above, what is the average acceleration, å , of the object?
4) [Horizontal] A block's velocity goes from 40 m/s to -20 m/s in 10 seconds along a straight line at a
constant acceleration, a. (The initial position = 50 m.)
In the first 10 seconds,
a) what is its average acceleration? O mIs²
b) What is its average velocity? -20m/s
c) what is its change in position?
ii. initial velocity:
+45mls
iii. acceleration: 6 m/s
%3D
d) What is its displacement? 100 m
e) What is its final position? 15om
f) What distance did it travel? 100m
(40m
The block then traveled at constant -20 m/s for an additional 7 seconds.
For the last 7 seconds,
g) what is its average acceleration? Oms
h) What is its average velocity? -20
i) what is its change in position? 40m
j) What is its displacement? yom
k) What is its final position? lo m
D What distance did it travel? (40m
2
1)
For the entire 17 second trip,
m) what is its average acceleration? -3.a laz p) What is its displacement?-40m
n) what is its change in position? (69
g) What is its final position2 (0 Do
Transcribed Image Text:at the same instant of time. Ignore the effects of air. a) Which ball will take longer to hit the ground? same time (Same Initia) hoight, Speed acceloration b) What is the difference in time for the two balls to hit the ground? no differena c) If Ball B were released 1 second before ball A, at what height will ball A catch up to ball B? 4t the grane 2) [Vertical] A green ball (m 2 kg) is dropped from a height of 8.00 m above the ground. At the moment it is dropped, a red ball (m = 3 kg) is shot straight up into the air from the ground (but not so that the two balls collide). How fast does the red ball need to be shot in order for it to land on the ground at the same time the green ball hits the ground? 3) [Horizontal-ish] The position of a 12 kg mass can be described as a function of time, t, by s(t)%3D(3t²-45t+ 162)m i , if time, t, is in seconds. (Acceleration is constant) | a) What is the mass's i. initial position: 2 mi b) At what time is the mass stopped? c) What is the average velocity, v, of the object between the time the object is stopped and 10 s after it is stopped. d) For the same duration as above, what is the average acceleration, å , of the object? 4) [Horizontal] A block's velocity goes from 40 m/s to -20 m/s in 10 seconds along a straight line at a constant acceleration, a. (The initial position = 50 m.) In the first 10 seconds, a) what is its average acceleration? O mIs² b) What is its average velocity? -20m/s c) what is its change in position? ii. initial velocity: +45mls iii. acceleration: 6 m/s %3D d) What is its displacement? 100 m e) What is its final position? 15om f) What distance did it travel? 100m (40m The block then traveled at constant -20 m/s for an additional 7 seconds. For the last 7 seconds, g) what is its average acceleration? Oms h) What is its average velocity? -20 i) what is its change in position? 40m j) What is its displacement? yom k) What is its final position? lo m D What distance did it travel? (40m 2 1) For the entire 17 second trip, m) what is its average acceleration? -3.a laz p) What is its displacement?-40m n) what is its change in position? (69 g) What is its final position2 (0 Do
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