Example 2 A student throws a book horizontally out a dorm window with a speed of 12.5 m/s. The book lands on the ground 31.8 m from the base of the building. How high is the window above the ground?

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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Solve example 2 and 3. Write the given, formula and the calculations
Example 1
A ball rolls off a 1.42-m high table
with a speed of 2.63 m/s. How far
from the base of the table will it land?
X
dx = ???
Vox 2.63 m/s
ax = 0 m/s²
Y
dy = -1.42 m
Voy = 0 m/s
ay = -9.8 m/s²
dvt-4.9.1²
-1.420-4.9.1²
(-1.42/-4.9) = 1²
t = √(-1.42/-4.9) = 0.5383 ... s
Vox = 2.63 m/s
d₂ = ???
d₁= Voxt
d = (2.63) (0.5383 ...)
d = 1.42 m (1.41579... m)
Slide 6
Strategy
Read/Diagram
ID Knowns
ID Unknown
Pick Equation
Substitute/Solve
Example 2
A student throws a book horizontally out a dorm window with a speed of 12.5 m/s. The book
lands on the ground 31.8 m from the base of the building. How high is the window above the
ground?
Example 3
A stone is thrown from the top of a 52.5-m high vertical cliff and lands in the water below at a
location 43.8 m from the bottom of the cliff. Determine the velocity with which the stone is
thrown.
Transcribed Image Text:Example 1 A ball rolls off a 1.42-m high table with a speed of 2.63 m/s. How far from the base of the table will it land? X dx = ??? Vox 2.63 m/s ax = 0 m/s² Y dy = -1.42 m Voy = 0 m/s ay = -9.8 m/s² dvt-4.9.1² -1.420-4.9.1² (-1.42/-4.9) = 1² t = √(-1.42/-4.9) = 0.5383 ... s Vox = 2.63 m/s d₂ = ??? d₁= Voxt d = (2.63) (0.5383 ...) d = 1.42 m (1.41579... m) Slide 6 Strategy Read/Diagram ID Knowns ID Unknown Pick Equation Substitute/Solve Example 2 A student throws a book horizontally out a dorm window with a speed of 12.5 m/s. The book lands on the ground 31.8 m from the base of the building. How high is the window above the ground? Example 3 A stone is thrown from the top of a 52.5-m high vertical cliff and lands in the water below at a location 43.8 m from the bottom of the cliff. Determine the velocity with which the stone is thrown.
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