![hernsl0263](/avatars/24698.jpg)
hernsl0263
29.05.2020 •
Mathematics
Lamaj is rides his bike over a piece of gum and continues riding his bike at a constant rate time = 1.25 seconds the game is at a maximum height above the ground and one second later the Commons on the ground again
Solved
Show answers
More tips
- G Goods and services Stock center - a modern way of optimizing logistics...
- F Food and Cooking How to Properly Wash a Down Jacket? Tips from Experts...
- C Computers and Internet Thin Client: What It Is and Why You Need It?...
- F Food and Cooking The Most Delicious and Simple Fish in Batter Recipe...
- F Food and Cooking Red Caviar: How to Choose the Best?...
- C Computers and Internet Clearing Cache: How to Speed Up Your Browser...
- S Style and Beauty How are artificial nails removed?...
- S Style and Beauty Secrets of Tying a Pareo: 5 Ways...
- F Food and Cooking Everything You Need to Know About Pasta...
Answers on questions: Mathematics
- M Mathematics What is the Area? 4 is the height and 2,6,2 are the bases at the bottom of the trapezoid...
- M Mathematics What is the length of a side of a square that has an area equal to the area of ABC...
- M Mathematics Just need question c...
- M Mathematics Y=2x5x-y=9I have to solving systems by substitution...
- M Mathematics Find the heart rates if you and your friend. Do these rates form a proportion? Explain....
- M Mathematics PLS HELP If x = 5, which inequality is true? Group of answer choices 4 – 2x 12 7 – x –3 3 – 5x –13 –2 – 7x 10...
- M Mathematics THIS IS DUE IS 16 MINUTES SOMEONE HELP PLZ...
- M Mathematics Solve for x. geometry...
- M Mathematics What is the difference between the lateral area and the total surface area of a cylinder? They are the same thing. The surface area is just the body of the cylinder, whereas...
- M Mathematics (07.03 MC) What function is represented below? (5 points) y 8 7 6 5 4 3 2 1 Х -4 -3 -2 -4 11 2 3 4 5 6 7 8 --2...
Ответ:
Lamaj rides his bike over a piece of gum and continues riding his bike at a constant rate. At time = 1.25 seconds, the gum is at a maximum height above the ground and 1 second later the gum is on the ground again.
a. If the diameter of the wheel is 68 cm, write an equation that models the height of the gum in centimeters above the ground at any time, t, in seconds.
b. What is the height of the gum when Lamaj gets to the end of the block at t = 15.6 seconds?
c. When are the first and second times the gum reaches a height of 12 cm?
Step-by-step explanation:
a)
We are being told that:
Lamaj rides his bike over a piece of gum and continues riding his bike at a constant rate. This keeps the wheel of his bike in Simple Harmonic Motion and the Trigonometric equation that models the height of the gum in centimeters above the ground at any time, t, in seconds. can be written as:
where;
y = is the height of the gum at a given time (t) seconds
34 = amplitude of the motion
the amplitude of the motion was obtained by finding the middle between the highest and lowest point on the cosine graph.
1.25 = maximum vertical height stretched by 1.25 m to the horizontal
b) From the equation derived above;
if we replace t with 1.56 seconds ; we can determine the height of the gum when Lamaj gets to the end of the block .
So;
Thus, the gum is at 58.01 cm from the ground at t = 15.6 seconds.
c)
When are the first and second times the gum reaches a height of 12 cm
This indicates the position of y; so y = 12 cm
From the same equation from (a); we have :
t = 2.72 seconds
Similarly, replacing cosine in the above equation with sine; we have:
t = 2.527 seconds
Hence, the gum will reach 12 cm first at 2.527 sec and second time at 2.72 sec.
Ответ:
Step-by-step explanation: