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Marrrta
6 days ago
5

Mr. Richard's science class is conducting a variety of experiments with projectiles and falling objects. Two groups of students

are using a slingshot to launch tennis balls from ground level, and two groups are dropping tennis balls from the fire escape.
Below are descriptions of the parameters with which each group launches or drops their tennis balls.

Group A launches a tennis ball straight up with an initial velocity of 19 meters per second.
Group B launches a tennis ball straight up with an initial velocity of 50 feet per second.
Group C drops a tennis ball from a height of 19 meters.
Group D drops a tennis ball from a height of 50 feet.

Determine which group's activities can be modeled by the following equations, where h is the current altitude of the tennis ball.

1. h = -4.9t^2 + 19. (A-B-C-D)
2. h = -16t^2 + 50t. (A-B-C-D)
3. h = -16t^2 + 50. (A-B-C-D)
4. h = -4.9t^2 + 19t. (A-B-C-D)
Mathematics
2 answers:
Zina [9.1K]6 days ago
7 0

Answer:

1. Group C; 2. Group B; 3. Group D; 4. Group A

Detailed explanation:

All equations presented fit the form

y=-4.9t^2+v_0t+h_0\\\text{or}\\y=-16t^2+v_0t+h_0, where v₀ represents initial velocity and h₀ indicates initial height.

The first equation shows no value for v₀ and has h₀ equal to 19, demonstrating that there is no initial velocity, meaning the ball is simply dropped from a height of 19 meters—therefore, it's categorized in group C.

The second equation displays an initial velocity of 50 with no initial height, identifying it as group B.

For the third equation, it has no initial velocity but an initial height of 50, confirming its classification in group D.

Lastly, the fourth equation indicates an initial velocity of 19 and no height, placing it in group A.

Inessa [8.9K]6 days ago
5 0
KINEMATIC EQUATIONS a = g vf = g * t + vo rf = (1/2) * g * t ^ 2 + vo * t + ro g = gravity t = time Vf = final speed Vo = initial speed GroupA: h(t) = - 4.9 * t ^ 2 + 19 * t
Group B: h(t) = - 16 * t ^ 2 + 50 * t
Group C: h(t) = - 4.9 * t ^ 2 +19
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The time between failures for an electrical appliance is exponentially distributed with a mean of 25 months. What is the probabi
Inessa [8989]

Answer:

The likelihood that a failure will not take place within the next 30 months is 0.0454.

Step-by-step explanation:

We employ a Poisson distribution where:

t = time units

x = occurrences during t units

λ = average occurrences per unit of time

P(x;λt) = e raised to the power of (-λt) multiplied by λtˣ divided by x!

Here, λt equals 25.

x equals 30.

P(x= 30) = 25³⁰e⁻²⁵/ 30!

P (x= 30) = 8.67 E41 * 1.3887 E-11/30!    (where E signifies exponent)

P (x=30) = 1.204 E31/30!

Utilizing a statistical calculator will yield:

P (x=30) = 0.0454

The probability that the next failure will not occur prior to 30 months is 0.0454.

7 0
25 days ago
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m3 of fluffy
Svet_ta [9486]

Complete Question

Angela has constructed a wedge-shaped pillow for her TV watching needs. It contains 0.35 m³ of fluffy material. The pillow's base area measures 0.5m², and its height stands at 1m.

What is the length of the pillow?

Provide an exact answer (no rounding).

Answer:

1.4m

Step-by-step explanation:

A wedge can be defined as a Triangular prism. Thus,

The volume formula for a wedge (Triangular prism) is given by: 1/2 × B × H × L

b = 0.5m

h = 1 m

l =??

Volume of the wedge = 0.35 m³

0.35 = 1/2 × 0.5 × 1 × L

0.35 = 0.25 × L

Solving for L, we get: L = 0.35/0.25

L = 1.4m

4 0
1 month ago
if you are adding two fractions that are both greater than 1/2 what must be true about the sum? Give three examples to support y
lawyer [9226]

Response:

When combining two fractions that each exceeds 1/2, their sum will invariably exceed 1.

Detailed breakdown: 1/2 + 1/2 = 1    

Since both fractions exceed this amount, it is evident that the sum must as well.

Examples: 2/3+3/4= 1 5/12        4/6+6/9= 1 1/3

Hope this adds clarity

6 0
14 days ago
A plane ticket barcelona costs £175 the price decreases by 6% work out the new price
Svet_ta [9486]

Answer: £164.50

Reducing 175 by 6% results in 164.5.

The absolute change is:

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Step-by-step explanation:

The calculation is as follows:

175 - Percentage decrease =

175 - (6% × 175) =

175 - 6% of 175 =

(1 - 0.06) × 175 =

0.94 × 175 =

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94 × 175 divided by 100 =

16,450 ÷ 100 =

164.5

So, the final amount is £164.50

6 0
24 days ago
Read 2 more answers
give an example on an addition problem in which you would and would not group the addends differently to add
AnnZ [9071]
Addends refer to the numbers being summed in an equation. 

Their arrangement only matters if parentheses are utilized to modify the usual Order of Operations. 

For example:
2 - (8 + 3)  in this case, 8 and 3 must be grouped first before tackling the subtraction.

Any addition scenario without parentheses can similarly function where the grouping is irrelevant.
3 0
7 days ago
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