Which type of bond does this molecule have?

A particle moves with acceleration function a(t) = 5 + 4t - 2t^2. Its initial velocity v(0) = 3 m/s and its initial displacement

eimsori [14]

Answer:

Its position after 4 seconds is 62 meters.

Explanation:

It is given that,

The acceleration of the particle is given by equation :

$a(t)=5+4t-2t^2$

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

$v=\int\limits {a.dt}$

$v=\int\limits {(5+4t-2t^2).dt}$

$v=5t+2t^2-\dfrac{2}{3}t^3+c$

At t = 0, $v(0)=3\ m/s$ . So, c = 3

$v=5t+2t^2-\dfrac{2}{3}t^3+3$

Also, $v=\dfrac{ds}{dt}$ , s is the position

$s=\int\limits {v.dt}$

$s=\int\limits {(5t+2t^2-\dfrac{2}{3}t^3+3).dt}$

$s=\dfrac{5}{2}t^2+\dfrac{2}{3}t^3-\dfrac{t^4}{6}+3t+c'$

At t = 0, $s(0)=10\ m$ . So, c' = 10

$s=\dfrac{5}{2}t^2+\dfrac{2}{3}t^3-\dfrac{t^4}{6}+3t+10$

At t = 4 s

$s=\dfrac{5}{2}(4)^2+\dfrac{2}{3}(4)^3-\dfrac{(4)^4}{6}+3(4)+10$

s = 62 m

So, at t = 4 seconds the position of the particle is 62 meters. Hence, this is the required solution.

5 0

3 years ago

Sam's job at the amusement park is to slow down and bring to a stop the boats in the log ride.

Mashcka [7]

The amount of work which Sam does need to stop the boat is 784Joule if boat mass is 800kg and boat drift in 1.4m/sec.

We know that according to work-energy theorem, change in kinetic energy of the body from one speed to another is equivalent to amount of work done by all forces acting on the body.

So, here we can see that final speed of boat is =0m/sec since Sam need to stop it.

Initial speed of boat is 1.4m/sec.

Also, we know that kinetic energy is given by the below formula:

Kinetic energy=(1/2)mv²

where m is the mass of the body

and v is the speed of the body

Now, from work energy theorem, we get

=>W=(1/2)m $v^2_2$ - (1/2)m $v^2_1$

=>W=0-(1/2)×800×(1.4)²

=>W= - 400× 1.4 × 1.4

=>W = -400×1.96

=>W= -784Joule

Here negative sign denotes work has to done against the original motion of boat.

Hence, amount of work needs to be done by Sam is 784Joule.

To know more about work,visit here:

brainly.com/question/18094932

#SPJ4

3 0

1 year ago

1. A ball is thrown vertically upward.

Ghella [55]

Answer:

The acceleration increases.

Explanation:

hope this helps

4 0

3 years ago

3. If 5/8" oriented strand board sheathing is nailed to the wood frame of a building with 8d common nails, how far does the poin

Naya [18.7K]

Answer:

The nail penetrates into the frame by 1.875 inches

Explanation:

For an 8d nail, it has a length of 2.5 inches, a diameter of 0.13 inches and a head diameter of 0.28125 inches. 8d nails in buildings are used in attaching studs to wall plate, rafter to top wall plates. It is also used when you need to drive a nail at an angle into a wood member.

Since the depth of an 8d nail is 2.5 inches and the sheathing is nailed on the wood frame, to get how far the point of the nail penetrate into the frame, we subtract the depth of the oriented strand board sheathing from the depth of an 8d nail.

Therefore, how far the point of the nail penetrate into the frame = 2.5 inches - 5/8 inches = (2.5 - 0.625) inches = 1.875 inches.

The nail penetrates into the frame by 1.875 inches

8 0

3 years ago

21) Y=2+3 solve for y

Anastasy [175]

Answer:

This must be harder than it appears or I'm missing something, but as far as I know y=5

Explanation:

7 0

3 years ago

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