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harina [27]
3 years ago
12

An object is moving in a horizontal direction only. The graph shows its velocity vs. time. (See Graph Below)

Physics
1 answer:
zysi [14]3 years ago
8 0
48 M to get the answer add the area of the triangle and rectangle under the line
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A particle has ~r(0) = (4 m) ˆ and ~v(0) = (2 m/s)ˆı. If its acceleration is constant and given by ~a = −(2 m/s 2 ) (ˆı +ˆ), a
Troyanec [42]

The particle has \vec r(0)=(4\,\mathrm m)\,\vec\imath and \vec v(0)=\left(2\frac{\rm m}{\rm s}\right)\,\vec\imath, and is undergoing a constant acceleration of \vec a=-\left(2\frac{\rm m}{\mathrm s^2}\right)(\vec\imath+\vec\jmath).

This means its position at time t is given by the vector function,

\vec r(t)=\vec r(0)+\vec v(0)t+\dfrac12\vec a t^2

\implies\vec r(t)=\left[4\,\mathrm m+\left(2\dfrac{\rm m}{\rm s}\right)t-\left(1\dfrac{\rm m}{\mathrm s^2}\right)t^2\right]\,\vec\imath-\left(1\dfrac{\rm m}{\mathrm s^2}\right)t^2\,\vec\jmath

The particle crosses the x-axis when the \vec\imath component is 0 for some time t>0, so we solve:

4+2t-t^2=0\implies t^2-2t+1=5

\implies(t-1)^2=5

\implies t-1=\pm\sqrt5

\implies t=1\pm\sqrt5

The negative square root introduces a negative solution that we throw out, leaving us with \boxed{t=1+\sqrt5} or about 3.24 seconds after it starts moving.

3 0
4 years ago
A particle is released as part of an experiment. Its speed t seconds after release is given by v (t )equalsnegative 0.4 t square
torisob [31]

Answer:

a) 2.933 m

b) 4.534 m

Explanation:

We're given the equation

v(t) = -0.4t² + 2t

If we're to find the distance, then we'd have to integrate the velocity, since integration of velocity gives distance, just as differentiation of distance gives velocity.

See attachment for the calculations

The conclusion of the attachment will be

7.467 - 2.933 and that is 4.534 m

Thus, The distance it travels in the second 2 sec is 4.534 m

6 0
3 years ago
A microwave has a typical wavelength of about 0.1 meter. What is the comparable wavelength of a radio wave?
anzhelika [568]

Answer: Answer down below.

Explanation:

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2 years ago
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Nataly_w [17]
Gas because that’s what the periodic table says
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4 years ago
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How can i better study to better prepare for exams
ira [324]
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