1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vladimir1956 [14]
3 years ago
5

The coordinates of a bird flying in the xy plane are given by x(t)=αt and y(t)=3.0m−βt2, where α=2.4m/s and β=1.2m/s2. Calculate

the velocity vector of the bird as a function of time.
Physics
2 answers:
cluponka [151]3 years ago
6 0

Answer : The velocity vector of the bird as a function of time 2.4\sqrt{1+t^2}

Solution :

x(t)=\alpha t\\\\\frac{dx}{dt}=\alpha

The x-component is, \frac{dx}{dt}=\alpha

y(t)=3.0m-\beta t^2\\\\\frac{dy}{dt}=-2\beta t

The y-component is, \frac{dy}{dt}=-2\beta t

Now we have to calculate the velocity vector of the bird as a function of time.

\overset{\rightarrow}V=\sqrt{x^2+y^2}

Now put the values of x-component and y-component in this equation, we get

\overset{\rightarrow}V=\sqrt{x^2+y^2}=\sqrt{(\alpha)^2+(-2\beta t)^2}=\sqrt{(2.4)^2+(-2\times 1.2\times t)^2}=2.4\sqrt{1+t^2}

Therefore, the velocity vector of the bird as a function of time 2.4\sqrt{1+t^2}

yuradex [85]3 years ago
4 0
     The derivative of the function space as a function of time is equal to a function of speed as a function of time.

x(t)=2.4t \\  \frac{x(t)}{t}=t \\ v_{x}(t)=t \\  \\ y(t)=3-1.2\times t^2 \\  \frac{y(t)}{t}=1.2\times2t \\ v_{y}(t)=2.4t
   
     The velocity vector is given by the vector sum of the velocities of  both axes.

v_{R}^2(t)=v_{x}^2(t)+v_{y}^2(t) \\ v_{R}^2(t)=(t)^2+(2.4t)^2 \\ \boxed {v_R(t)=2.6t}

If you notice any mistake in my english, please let me know, because I am not native.

You might be interested in
When running a long distance during the Texas summer which of the following would happen?
Orlov [11]

Answer:

Answer choice D!

Explanation:

When it comes to running during a hot day, the human body responds to extensive periods of heat by producing sweat. Sweat is necessary in order of cooling down the body, so that is why I figured it would be that answer. I hope this helped!

8 0
2 years ago
Help please :) 15 points.
ladessa [460]

Answer:

south

Explanation:

5 0
3 years ago
Melissa uses bags of mulch that way 40 pounds each. She needs to carry 10 bags to her truck. She usually carries one bag at a ti
arsen [322]
No. She would be doing the same amount of work that way. Work is defined to be equal to the force multiplied by the distance. Carrying two bags at a time would cause her to exert twice the effort, so the total amount of work done in the end would still be the same.
4 0
3 years ago
What is neccessary for a magnetic field to create electric current in a copper coil?
Viktor [21]
A, Lenz' Law. There need to be a difference of flux, so if you use AC you will get a current too.
6 0
3 years ago
Ultraviolet rays from the sun are able to reach Earth's surface because A. They require air to travel through B. They have less
9966 [12]
Yeah, because of it's short frequencies, ultraviolet rays can travel through empty space- D
: D
3 0
3 years ago
Other questions:
  • In the early 19th century Christian Doppler, an Austrian physicist, proposed a theory regarding the properties of a moving sourc
    8·1 answer
  • Advection fog occurs when humid air move over cold ground
    8·1 answer
  • Convert 56,789 mm to km.
    13·1 answer
  • When you set a pot of tap water on the stove to boil, you'll often see bubbles start to form well before boiling temperature is
    14·1 answer
  • How can the rate of a reaction be increased?
    12·2 answers
  • HELPPPPPPPPPPPPPPPPPP OMGGGGGGGGGGGGGGGGGGGGGGG
    9·1 answer
  • if a car is going 10 miles/seconds and four seconds later it is going 80 miles/seconds what is its acceleration
    8·1 answer
  • Is it frictional force?​
    14·1 answer
  • A student walks 12 blocks to a coffee shop. (Assume all the blocks are equal length.) How long will it take him to reach the cof
    13·2 answers
  • 1. How does the % error compare to the coded tolerance for your resistors​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!