# Math

the question is "Joe rode his bike over a piece of gum. Joe continued riding his bike at a constant rate. At time t=1.25 seconds the gum was at a maximum height above the ground and 1 second later the gum was at a minimum. If the wheel diameter is 68cm find a trigonometric equation that will find the height in centimeters at any time t.

1. 👍 0
2. 👎 0
3. 👁 279
1. assuming that at t = 0 the height was zero (at ground level)
Let's use a sine curve.
The amplitude is 34 and the period is 2.5 seconds
2.5 = 2π/k
k = π/1.25

so our basic curve is
h = 34sin(πt/1.25)

We need to raise this 34 cm so it doesn't go below road level
h = 34sin((π/1.25)t) + 34

This does not give us a height of 0 when t = 0, we have to move the curve 1/4 period to the right

h = 34sin((π/1.25)(t - .625)) + 34

testing:
when t = 0 , h = 0 , good!
when t = 1.25, h = 68 , good!
My equation is correct.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Science

The force of gravity of objects on the moon is approximately one-sixth of their value on Earth. Joe weighs 7633 N on earth. What will Joe's mass on the moon be?

2. ### Math

On Joe Martin's graduation from college, Joe's uncle promised him a gift of \$12000 in cash or \$900 every quarter for the next 4 years after graduation. If money could be invested at 8% compounded quarterly, which offer is better

3. ### Physics(class) /Math (problem)

Moe earns 15% more than her husband Joe. Together they make 78000 per year. What is Joe’s annual salary? Answer to two significant figures. My answer was \$31000, but the program doesn't seem to want to take it. Did I do

4. ### Language arts

I'm confused on some questions. Thank you for all the help! Joe magarac, Man of steel 8. In section 1, what does the author mean when he says joe magarac is a folk hero? A. Joe was a real man who spent his whole life in the steel

1. ### physics

If Joe weighs 100N on the moon how much will Joe weigh on earth? N & kg

2. ### math

at 7:00am joe starts jogging at 6 mi/h. at 7:10 am ken starts after him. how fast must ken run to overtake joe at 7:30am? If Joe runs at 6 mi/hr for 30 minutes (7:00 to 7:30), his distance traveled is 6 mi/hr x 0.5 hr = 3 miles.

3. ### physical science

Joe baked a cake for his mother's birthday. When he removed the cake from the oven, Joe noticed that the cake had not risen. Joe guessed that the baking powder he had used was too old. He designed the following experiment to test

4. ### math

Joe sold a total of 10 baked goods at the fundraiser. Each cookie costs \$1.25 and each brownie costs \$2.50. Joe made \$20 at the fundraiser. How many cookies did Joe sell?

1. ### math

Joe has \$10,000 to purchase a used car. If the sales tax is 7% and the fee for title and license plates is \$200, what is the maximum amount Joe can spend for a car?

2. ### PHYSICS

IF JOE RIDES SOUTH ON HIS BIKE IN A STRAIGHT LINE FORE 15 MIN WITH AN AVERAGE SPEED OF 12.5KM/H, HOW FAR HAS HE RIDDEN?

3. ### mathe

Please respond with a number to the question: I have a pie. If I give two pieces to Joe, one piece to Mary, and another piece to Joe, how many pieces of pie does Joe have?

4. ### Math

A pound of nails cost 13\$ . Joe buys 2.4 pounds . How much does Joe spend on nails ? If there are 200 nails in a pound ,how many nails does Joe have ?