Log in
Mathematics
1
answer
0
watching
126
views

Why does an arrow's flight not represent a ray?
ย 
A. The arrow's path doesn't have an origin.
B. An arrow won't travel.
C. The archer must be a certain height above the ground for the arrow's path to represent a ray.
D. The arrow's flight will eventually end.

Watch
1
answer
0
watching
126
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Rico Jay Laxa
Rico Jay LaxaLv10
9 Nov 2020

Unlock all answers

Get 1 free homework help answer.
Already have an account? Log in
Share

Related questions

An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and then released, it vibrates vertically. The equation of- motion is, where s is measured in centimeters and t in seconds. (Take thepositive direction to be downward)

(a) Find the velocity and acceleration at time t.

(b) Graph the velocity and acceleration function.

(c) When does the mass pass through the equilibrium position for the first time?

(d) How far from its equilibrium position does the mass travel?

(e) When is the speed the greatest?

Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours. It is believed that more energy is required to fly over water than over land because air generally rises over land and falls over water during the day. A bird with these tendencies is released from an island that is 5 km from the nearest point B on a straight shoreline, flies to a point C on the shoreline, and then flies along the shoreline to its nesting area D. Assume that the bird instinctively chooses a path that will minimize its energy expenditure. Points B and D are 13 km apart.

(a) In general, if it takes 1.4 times as much energy to fly over water as it does over land, to what point C should the bird fly in order to minimize the total energy expended in

returning to its nesting area?

(b) Let W and L denote the energy (in joules) per kilometre flown over water and land, respectively. What would a large value of the ratio W/L mean in terms of the birdโ€™s

flight? What would a small value mean? Determine the ratio W/L corresponding to the minimum expenditure of energy.

(c) What should the value of W/L be in order for the bird to fly directly to its nesting area D? What should the value of W/L be for the bird to fly to B and then along the shore to D?

Mr and Mrs Spin operate a Ferris Wheel at various shows and carnivals. A passenger sits in a capsule and enjoys the ride and views. Below is a diagram showing their magnificent wheel:

Passengers embark and disembark the capsule from the platform (a maximum of 6 passengers are allowed at any given time). The time for a passenger to enter the capsule and return to the platform is 6x minutes. The process repeats until the final passenger(s) embark at no later than 10 pm each evening. The Ferris Wheel runs in an anti-clockwise direction. The height h, in metres, from the ground to a capsule, is measured from the ground to the ball on top of any capsule. It is modelled by ๐’‰(๐’•) = ๐’‚ โˆ’ ๐›cos (๐…/ ๐Ÿ‘) A passenger pays 3y dollars for a ride on the wheel. The variables a, b, x and y are as follows: ยง a is equal to 14 (i.e. a=14) ยง b is equal to the last digit of your student id plus 2 (e.g. if your id is 4567891 then b=3). ยง x is equal to the third digit of your id plus 3 (e.g. if your id is 4567891 when x=9). ยง y is equal to the month that you are born plus 6 (e.g. if you are born in July then y=13). Mr and Mrs Spin would like you to do the following mathematical analysis and present the results in a report for their consumption.

Task 1:

What are the minimum and maximum height of a capsule on the Ferris Wheel?

Task 2:

Determine the heights of each of the capsules on the Ferris Wheel while passengers either embark or disembark a capsule. Present these heights in table form, with appropriate labelling.

Task 3:

Determine the time when the final passenger(s) will disembark the capsule and the Ferris Wheel cease for the evening (remember that the final passengers will embark no later than 10 pm). Note, it is possible that the final passenger(s) may embark the capsule prior to 10 pm, so the answer to this task may not be 10 pm + 6x.

ย 

Task 4:

Evaluate the number of capsules that will have a passenger(s) embark for any day, given the Ferris Wheel will commence at 4 pm and the time for passenger(s) to embark and disembark is considered negligible.

Weekly leaderboard

Home
Homework Help 3,900,000
Mathematics 240,000
Start filling in the gaps now
Log in