A water balloon is thrown upward from a window that is 75 meters high with an initial velocity of 19 meters per second. The function f(t) = -16t² + 19t+75 describes the heigh of the water balloon (in meters) at time t, measured in seconds from the initial release of the balloon. 1. What is the average velocity for the duration of the water balloon's flight? a. How much time elapsed from launch until impact? A+

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Chapter3: Vectors
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Problem 3.62AP: After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of...
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A water balloon is thrown upward from a window that is 75
meters high with an initial velocity of 19 meters per second.
The function f(t) = −16t² + 19t + 75 describes the height
of the water balloon (in meters) at time t, measured in
seconds from the initial release of the balloon.
1. What is the average velocity for the duration of the
water balloon's flight?
a. How much time elapsed from launch until impact?
At =
b. What is the displacement of the water balloon over
this interval? Ay =
c. What was the average velocity during this interval?
Ay
At
?
2. What is the average velocity of the water balloon
between t = 0 and t = 1.5?
a. How much time elapsed? At =
b. What is the displacement of the water balloon for
this interval? Ay =
c. What was the average velocity for 0 ≤ t ≤ 1.5?
Ay
At
3. What is the average velocity of the water balloon.
between t = 2.5 and t = 2.508?
a. How much time elapsed? At =
b. What is the displacement of the water balloon for
this interval? Ay=
c. What was the average velocity for 2.5 ≤ t ≤ 2.508
Ay
At
All distonone should be monoured in motorn for this
mathww.citytech.cuny.edu - Private
Transcribed Image Text:10:09 Previous Problem 1,0 Problem List (?,8) || - 144 Next Problem A water balloon is thrown upward from a window that is 75 meters high with an initial velocity of 19 meters per second. The function f(t) = −16t² + 19t + 75 describes the height of the water balloon (in meters) at time t, measured in seconds from the initial release of the balloon. 1. What is the average velocity for the duration of the water balloon's flight? a. How much time elapsed from launch until impact? At = b. What is the displacement of the water balloon over this interval? Ay = c. What was the average velocity during this interval? Ay At ? 2. What is the average velocity of the water balloon between t = 0 and t = 1.5? a. How much time elapsed? At = b. What is the displacement of the water balloon for this interval? Ay = c. What was the average velocity for 0 ≤ t ≤ 1.5? Ay At 3. What is the average velocity of the water balloon. between t = 2.5 and t = 2.508? a. How much time elapsed? At = b. What is the displacement of the water balloon for this interval? Ay= c. What was the average velocity for 2.5 ≤ t ≤ 2.508 Ay At All distonone should be monoured in motorn for this mathww.citytech.cuny.edu - Private
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