For Exercises 15-22, suppose that an object is attached to a horizontal spring subject to the given conditions. Find a model for the displacement d as a function of the time t . (See Example 1) Initial Displacement d at t = 0 Amplitude Period or Frequency − 12 m 12 m 4 Hz
For Exercises 15-22, suppose that an object is attached to a horizontal spring subject to the given conditions. Find a model for the displacement d as a function of the time t . (See Example 1) Initial Displacement d at t = 0 Amplitude Period or Frequency − 12 m 12 m 4 Hz
Solution Summary: The author explains the model for the displacement of an object as a function of the time t.
For Exercises 15-22, suppose that an object is attached to a horizontal spring subject to the given conditions. Find a model for the displacement
d
as a function of the time
t
. (See Example 1)
Initial Displacement
d
at
t
=
0
Amplitude
Period or Frequency
−
12
m
12
m
4
Hz
Suppose a rock falls from rest from a height of 100 meters and the only force acting on it is gravity. Find an equation for the velocity v(t) as a function of time, measured in meters per second.
Hint
What is the initial velocity of the rock?
#6
Question 2
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A proton moves in a horizontal line. Its position, & seconds after the particle begins moving is:
s(t) = 6t³ - 7t +9
A. Find the velocity of the proton at time t.
B. After the proton starts moving, it comes to a rest at what time t? You may give your answer to 3 decimal
places. In your work, give an appropriate unit.
C. Find the acceleration of the proton at time t.
D. Find the accleration of the proton 5 seconds after it begins moving. In your work, give an appropriate
unit.
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY