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5 days ago

Two circus performers rehearse a trick in which a ball and a dart collide. Horatio stands on a platform 9.8 m above the ground a

nd drops a ball straight down. At the same moment, Amelia uses a spring-loaded device on the ground to launch a dart straight up toward the ball. The dart is launched at 17.8 m/s. Find the time and height of the collision by simultaneously solving the equations for the ball and the dart.

Physics

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A car rolls down a ramp in a parking garage. The horizontal position of the car in meters over time is shown below. Graph of ver

Ostrovityanka [3204]

Answer:

d_total = 12 m

Explanation:

In this kinematics scenario illustrated in the graph provided, we determine the distance traveled over a 24-second duration.

The comprehensive distance can be calculated as follows:

d_total = d₁ + d₂ + d₃

Given that d₂ on the graph is level (v=0), its distance equates to zero, hence d₂ = 0.

The distance for d₁ is calculated as:

d₁ = 12 - 6 = 6 m

For distance d₃:

d₃ = 6 - 0 = 6 m

Thus, the overall distance covered is:

d_total = 6 + 0 + 6

d_total = 12 m

3 0

2 months ago

Astronomers determine that a certain square region in interstellar space has an area of approximately 2.4 \times 10^72.4×10 7

Sav [3153]

Answer:

1.5 × 10³⁶ light-years

Explanation:

A particular square area in interstellar space measures roughly 2.4 × 10⁷² (light-years)². To find the area of a square, the following formula is utilized:

A = l²

where,

A represents the area of the square

l denotes the length of one side of the square

Thus, l = √A = √2.4 × 10⁷² (light-years)² = 1.5 × 10³⁶ light-years

5 0

2 months ago

A Labrador retriever breeder needs to determine if three male pups who were born to Sadie, his black Labrador retriever, are the

Ostrovityanka [3204]

Answer: Known facts are:

Sadie, the dam, is a black Labrador.

Sam, the potential sire, is a yellow Labrador.

Putting aside technical methods, the breeder can inspect the puppies for traits.

For instance, yellow coat color is recessive to black, so yellow pups would suggest Sam is likely the father; however black pups could also have Sam as sire if they inherited the mother's color alleles.

Examining coat color, conformation, and similar features is a reasonable starting point.

Ultimately these observations are probabilistic; the only definitive (scientific) method is a paternity (DNA) test.

7 0

1 month ago

In a novel from 1866 the author describes a spaceship that is blasted out of a cannon with a speed of about 11.000 m/s. The spac

Sav [3153]

Answer:

$a=0.284\ m/s^2$

Explanation:

We start with the fact that

Initially, the spacecraft was at rest, u = 0

The final velocity of the rocket is given as v = 11 m/s

The distance that the rocket covers during acceleration is given as d = 213 m

We seek to determine the acceleration that the occupants of the spacecraft experience during launch, which is derived from the principles of kinematics. By applying the

third motion equation we can find the acceleration.

$v^2-u^2=2ad\\\\a=\dfrac{v^2-u^2}{2d}\\\\a=\dfrac{(11)^2-(0)^2}{2\times 213}\\\\a=0.284\ m/s^2$

Thus, the acceleration felt by those inside the spacecraft is $0.284\ m/s^2$ .

5 0

1 month ago