What has specific data numbers, values, or qualitative descriptions

You have a remote-controlled car that has been programmed to have velocity v⃗ =(−3ti^+2t2j^)m/s, where t is in s. At t = 0 s, th

DiKsa [7]

Answer:

The y-component of the car's position vector is 670m/s.

The x-component of the acceleration vector is -3, and the y-component is 40.

Explanation:

The displacement vector of the car with velocity

$\boldsymbol{v}= (-3t\boldsymbol{i}+2t^2\boldsymbol{j})m/s$

is the integral of the velocity.

Integrating $\boldsymbol{v}$ we get the displacement vector $\boldsymbol{d}$ :

$\boldsymbol{d}=(-\dfrac{3}{2}t^2\boldsymbol{i}+\dfrac{2}{3}t^3\boldsymbol{j} )$

Now if the initial position if the car is

$\boldsymbol{r}= (3.0\boldsymbol{i}+2.0\boldsymbol{j})$

then the displacement of the car at time $t$ is

$\boldsymbol{d(t)}= \boldsymbol{r+d}$

$\boxed{\boldsymbol{d(t)}=(-\dfrac{3}{2}t^2+3.0\boldsymbol{i}+\dfrac{2}{3}t^3+2.0\boldsymbol{j} )}$

Now at $t=10s$ , we have

$\boxed{\boldsymbol{d(t)}=(-147\boldsymbol{i}+670\boldsymbol{j} )}m$

The y-component of the car's position vector is 670m/s.

The acceleration vector is the derivative of the velocity vector:

$\boldsymbol{a(t)}=\dfrac{d\boldsymbol{v(t)}}{dt} =(-3\boldsymbol{i}+4t\boldsymbol{j})$

and at $t=10s$ it is

$\boldsymbol{a(t)}=(-3\boldsymbol{i}+40\boldsymbol{j})m/s^2$

The x-component of the acceleration vector is -3, and the y-component is 40.

5 0

3 years ago

Which method would be best to separate a mixture of iron and lead pellets (of the same approximate diameter)? magnetism screenin

KATRIN_1 [288]

Separation by density filtration because lead slightly interacts with magnets also.

4 0

3 years ago

Read 2 more answers

Which of the following best describes chemical weathering?

dexar [7]

Answer:

<h3>ir id n becuswe ig gyst makres sensre</h3>

Explanation:

5 0

3 years ago

Read 2 more answers

The time spent on design will vary, dependent on the complexity of the problem. Why is it important to give the design process a

lord [1]

Answer:To ensure significant dialogue which will guarantee that the needed Products meets specifications

It will help to develop a better Operational model for the users.

Explanation: The design phase is one of the most critical phase in product development,it is in this phase that the product structure, contents and specifications are put into action. It is necessary that the end users have a significant time to dialogue with the project or product development team to guarantee that the end product meets specifications.

It is also necessary to spent adequate time in order to make the product user friendly (easy to operate and maintain).

3 0

4 years ago

If a 10-volt battery is placed across a 2-ohm resistance (R = 2Ω), a current of amperes will flow.

kompoz [17]

The formula for solving voltage is V=IR where V represents the voltage, where "I" represent the current and R represents the resistance. Then, the given values are enumerated below and these will help us in solving for the unknown.
V=10 volts
I=?
R=2 ohms
V=IR
I=V/R
I=10/2
I=5 amperes
Therefore, the current is 5 amperes.

3 0

4 years ago