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
Tems11 [23]
3 years ago
13

You collect some more data on that horse at a later time interval, but now you are measuring thehorse’s velocity, not its positi

on, using a radar gun and you found that the data was described by thefunction: ??x( ?? )= (10 ??/??) +( 2 ??/??^3)t^2 Once again, you have chosen a particular spot on the trackto be your origin and started your clock (t = 0) when you started collecting the data (at which point thehorse was at -2 m in your coordinate system). What is the position of the horse as a function of timeduring this interval?
Physics
1 answer:
Monica [59]3 years ago
3 0

Answer:

a)  x(t) = 10t + (2/3)*t^3

b) x*(0.1875) = 10.18 m

Explanation:

Note: The position of the horse is x = 2m. There is a typing error in the question. Otherwise, The solution to cubic equation holds a negative value of time t.

Given:

- v(t) = 10 + 2*t^2 (radar gun)

- x*(t) = 10 + 5t^2 + 3t^3  (our coordinate)

Find:

-The position x of horse as a function of time t in radar system.

-The position of the horse at x = 2m in our coordinate system

Solution:

- The position of horse according to radar gun:

                              v(t) = dx / dt = 10 + 2*t^2

- Separate variables:

                              dx = (10 + 2*t^2).dt

- Integrate over interval x = 0 @ t= 0

                             x(t) = 10t + (2/3)*t^3

- time @ x = 2 :

                              2 = 10t + (2/3)*t^3

                              0 = 10t + (2/3)*t^3 + 2

- solve for t:

                              t = 0.1875 s

- Evaluate x* at t = 0.1875 s

                              x*(0.1875) = 10 + 5(0.1875)^2 + 3(0.1875)^3

                              x*(0.1875) = 10.18 m

You might be interested in
An object of known mass M with speed v0 travels toward a wall. The object collides with it and bounces away from the wall in the
Bingel [31]

Neither side of the equation may be used because there are too many unknown quantities before, during, and after the collision

Explanation:

The impulse theorem states that the change in momentum of an object is equal to the impulse, which is the product between the average force applied and the duration of the collision:

\Delta p = F \Delta t

where

\Delta p is the change in momentum

F is the average force

\Delta t is the duration of the collision

In this problem, neither side of the equation can be used to measure the change in momentum. In fact:

- The change in momentum (left side) is given by

\Delta p = m(v-u)

where

m is the mass of the object

u is the initial velocity

v is the final velocity

Here the final velocity is not known, so it's not possible to use this side of the equation

- The impulse (right side) is given by

F\Delta t

here the average force is known, however the duration of the collision is not known, so it's not possible to use this side of the equation.

Learn more about momentum:

brainly.com/question/9484203

#LearnwithBrainly

3 0
3 years ago
In the picture below, the candle is heating the water in the tank. Which picture shows how the water will move as it gets hot?
Masteriza [31]

The first picture, at the top, does.

5 0
2 years ago
Read 2 more answers
If you are given the mass of an object in pounds, the time in seconds, and the distance in feet, what must you do before you can
Alexandra [31]

Answer: First you must convert pound in kilogram, and feet in meter

Explanation:

To calculate momentum we use .

p=m*V

mass-m

speed-V

distance and time are used to calculate velocity(speed)

You are given :

 mass- in pounds

for distance - in feet

before you do any calculation first you have to convert pounds in kilograms

and feet in meters.

5 0
2 years ago
Two charged objects, A and B, are exerting an electric force on each other. What will happen if the charge on A is increased?
ozzi

Answer: The forces acting on both of them will increase in magnitude.

Explanation:

According to Coulomb's law, the electrostatic force between two bodies is proportional to the product of their two charges. If the charge on A is increased this product increases in size (it must have been non-zero to begin with, since there was a force between them at first). Thus, the force between them rises.

6 0
3 years ago
1. Which statement is true of culture?
dlinn [17]
I think it is either A or B. I’m mostly leaning towards B.
6 0
3 years ago
Other questions:
  • An electron with a speed of 0.965 c is emitted by a supernova, where c is the speed of light. What is the magnitude of the momen
    6·2 answers
  • Which may result from an increase in friction? Check all that apply.
    12·1 answer
  • In this formula, g=GM/R^2 , what do G ,m and R stand for?​
    5·1 answer
  • 11. What do foliated and un-foliated mean in metamorphic rocks?
    7·1 answer
  • A gas sample is heated from -20.0°C to 57.0°C and the volume is increased from 2.00 L to 4.50 L. If the initial pressure is 0.14
    8·1 answer
  • According to Newton’s first law of motion what will an object in motion do when no external force acts on it ?
    14·1 answer
  • Students hypothesized that by running an electric current through the wire of the apparatus shown here, they could cause a non-m
    7·2 answers
  • What percentage of the acceleration at Earth's surface is the acceleration due to gravity at the position of a satellite located
    8·1 answer
  • A car has a speed of 20 m/s. If the speed of the car increases to 30 m/s in 5 seconds, what is the car’s acceleration?
    10·1 answer
  • Quien me ayuda en una tarea de matemáticas de una figura geométrica que no se cómo se llama​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!