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3 years ago

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1. "Milli" means "thousandth" so a millimeter (symbol: mL) is one thousandth of a liter. Therefore it takes ____(how many?) mL t

o make one L

1 answer:

koban [17]3 years ago

4 0

One thousand mL to make one L

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A particle travels along a straight line with a velocity v = (12 - 3t) m/s, where t is in seconds. When t = 1 s, the particle is

Simora [160]

Answer:

(1).The acceleration is -24 m/s²

The total distance is 912 m.

(2). The distance traveled before it stop is 78 m.

Explanation:

Given that,

Velocity = (12-3t^2) m/s

When t = 1 s, the particle is located 10 m to the left of the origin.

We need to calculate the acceleration at t = 4 sec

Using formula of acceleration

$a=\dfrac{dv}{dt}$

Put the value of v

$a=\dfrac{d}{dt}(12-3t^2)$

$a=-6t$

Put the value of t

$a=-6\times4$

$a=-24\ m/s^2$

The displacement from t = 0,t = 10 s, and the distance the particle travels during this time period.

We need to calculate the distance

Using formula of distance

$ds=v\ dt$

$\int_{-10}^{s}=\int_{1}^{t}{v}dt$

Put the value of v

$\int_{-10}^{s}=\int_{1}^{t}{ (12-3t^2)}dt$

$s+10=12t-t^3-11$

$s=12t-t^3-21$

At t = 0,

$s_{t=0}=-21$

At t = 10,

$s_{t=10}=12\times10-10^3-21$

$s_{t=10}=-901$

The displacement is

$\Delta s=-901-(-21)$

$\Delta s=-880\ m$

The distance at t= 2 sec

$s_{t=2}=12\times2-2^3-21$

$s_{t=2}=-5$

The total distance will be,

$s_{T}=(21-5)+(901-5)$

$s_{T}=912\ m$

(2). We need to calculate the distance at 2 sec

Using equation of motion

$s=ut-\dfrac{1}{2}at^2$

Put the value into the formula

$s=27\times 2+\dfrac{1}{2}\times6\times(2)^3$

$s=78\ m$

Hence, (1).The acceleration is -24 m/s²

The total distance is 912 m.

(2). The distance traveled before it stop is 78 m.

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3 years ago

An electric vehicle starts from rest and accelerates at a rate a1 in a straight line until it reaches a speed of v. The vehicle

levacccp [35]

(a) $t=\frac{v}{a_1}+\frac{v}{a_2}$

In the first part of the motion, the car accelerates at rate $a_1$ , so the final velocity after a time t is:

$v = u +a_1t$

Since it starts from rest,

u = 0

So the previous equation is

$v= a_1 t$

So the time taken for this part of the motion is

$t_1=\frac{v}{a_1}$ (1)

In the second part of the motion, the car decelerates at rate $a_2$ , until it reaches a final velocity of v2 = 0. The equation for the velocity is now

$v_2 = v - a_2 t$

where v is the final velocity of the first part of the motion.

Re-arranging the equation,

$t_2=\frac{v}{a_2}$ (2)

So the total time taken for the trip is

$t=\frac{v}{a_1}+\frac{v}{a_2}$

(b) $d=\frac{v^2}{2a_1}+\frac{v^2}{2a_2}$

In the first part of the motion, the distance travelled by the car is

$d_1 = u t_1 + \frac{1}{2}a_1 t_1^2$

Substituting u = 0 and $t_1=\frac{v}{a_1}$ (1), we find

$d_1 = \frac{1}{2}a_1 \frac{v^2}{a_1^2} = \frac{v^2}{2a_1}$

In the second part of the motion, the distance travelled is

$d_2 = v t_2 - \frac{1}{2}a_2 t_2^2$

Substituting $t_2=\frac{v}{a_2}$ (2), we find

$d_1 = \frac{v^2}{a_2} - \frac{1}{2} \frac{v^2}{a_2} = \frac{v^2}{2a_2}$

So the total distance travelled is

$d= d_1 +d_2 = \frac{v^2}{2a_1}+\frac{v^2}{2a_2}$

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3 years ago

What is the entire range of em waves called

Olin [163]

The entire range of anything is called its spectrum.

For em wavelengths, it's the electromagnetic spectrum.

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4 years ago

A rock is dropped from a vertical cliff. The rock takes 3.00 s to reach the ground below the cliff. A second rock is thrown vert

Phantasy [73]

Answer:

Velocity v= 12.25 $\frac{m}{s}$

Explanation:

The first rock dropped give the distance Y in meters

$Y_{f}=Y_{o}+v_{o}*t +\frac{1}{2}*a*t^{2}\\ Y_{f}=\frac{1}{2}* 9.8 \frac{m}{s^{2} }* 3^{2} \\Y_{f}=44.1 m$

Now the motion of the second rock the time change so to know the velocity

$Y_{f}= Y_{o} +v_{o}*t +\frac{1}{2}*a *t^{2} \\v_{o}*t= -Y_{f} +\frac{1}{2} *a*t^{2} \\v_{o} =\frac{-44.1 +0.5 * 9.8* s^{2} }{2} \\v_{o}= 12.25 \frac{m}{s}$

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3 years ago

a 50kg skater on level ice, has built up her speed to 30km/h. how far will she coast before sliding friction dissipates her ener

azamat

Answer:

belpw

Explanation:

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3 years ago