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Anettt [7]
3 years ago
8

An object's position in a given coordinate system is described by the vector r = t2 i - (3t + 3) j. Assume the object moves with

out air resistance. [email protected] 25%
Part (a) What is the object's displacement between times t1 = 1 s and t2 = 3 s? Write your answer in component form. Δr = 8 i - 6 j ✔ Correct!
Physics
1 answer:
Ipatiy [6.2K]3 years ago
8 0

Answer:

The object´s displacement vector is Δr =  8i - 6 j  

Explanation:

Hi there!

The position vector is given by the following function:

r = t²i - (3t + 3) j

Let´s find the position of the object at time t1 and t2:

At t1 = 1 s:

r1 = (1)² i - (3 · (1) + 3 )j

r1 = 1 i - 6 j

At t2 = 3 s:

r2 = (3)² i - (3 · (3) + 3) j

r2 = 9 i - 12 j

The displacement is calculated as follows:

displacement = Δr = final position - initial position = r2 - r1

r2 - r1 = 9 i - 12 j - (1 i - 6 j)

r2 - r1 = 9 i - 12 j - 1 i + 6 j

r2 - r1 = 8 i - 6 j

The object´s displacement vector is Δr =  8i - 6 j  

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Bogdan [553]
What is the question ?
4 0
4 years ago
Please help... <br> !!!!!!!
Scilla [17]

Answer:

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Explanation:

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6 0
3 years ago
As plates move, large blocks of crust ___ along the faults
seraphim [82]

Answer:

move

Explanation:

i think that is it

as plates move large blocks of crust move along the faults

4 0
3 years ago
If there are no unbalanced forces acting on an object, according to Newton's First Law:
Sergio039 [100]

I think its b because when there is unbalanced forces it accelerates.

Hope this helps you out

4 0
3 years ago
What multiple of the time constant τ gives the time taken by an initially uncharged capacitor in an RC series circuit to be char
podryga [215]

Answer:

  t / τ₀ = 2.9

the time constant has to be multiplied by approximately three

Explanation:

The expression for long of a capacitor is

    q = q₀ (1- e (-t/τ₀)

Where q is the charge and τ₀ is the time constant.  What is found for when the initial capacitor charge at 63.5% (e⁻¹) of the maximum charge

In our case we are asked that the load be 94.5%, this means that

    q/q₀ = 94.5%

    q/q₀ = 0.945

Let's replace and calculate

    q/q₀ = 1 - e (-t/τ₀)

    0.945 = 1 - e (-t/τ₀)

    (-t /τ₀) = ln (1 -0.945) = ln (0.055)

    t / τ₀ = 2.9

the time constant has to be multiplied by approximately three for this charge

5 0
4 years ago
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