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kompoz [17]
3 years ago
9

A boy is playing a ball in a garden surrounded by a wall 2.5 m high and kicks the ball vertically up from a height of 0.4 m with

a speed of 14 m/s. For how long is the ball above
the height of the wall.​
Mathematics
1 answer:
USPshnik [31]3 years ago
6 0

Answer:

2.54 seconds

Step-by-step explanation:

We can use the following equation to model the vertical position of the ball:

S = So + Vo*t + a*t^2/2

Where S is the final position, So is the inicial position, Vo is the inicial speed, a is the acceleration and t is the time.

Then, using S = 2.5, So = 0.4, Vo = 14 and a = -9.8 m/s2, we have that:

2.5 = 0.4 + 14*t - 4.9t^2

4.9t^2 - 14t + 2.1 = 0

Solving this quadratic equation, we have that t1 = 2.6983  s and t2 = 0.1588 s.

Between these times, the ball will be higher than 2.5 m, so the amount of time the ball will be higher than 2.5 m is:

t1 - t2 = 2.6983  - 0.1588 = 2.54 seconds

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A club's first meeting was attended by 21 people. The second meeting was attended by 3 times as many people as the first meeting
vesna_86 [32]

Answer:

63 people

Step-by-step explanation:

first meeting 21 people

second meeting 3 time as many people as first meeting

so 21 ×3=63

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2 years ago
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padilas [110]

Answer:

Value of a is 26 and vaule of b is 12

Step-by-step explanation: May i get brainlesist

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2 years ago
Angle a and b are supplementary angles, and a is x-3 and b is x+14 what are the measures of angle a and b
Mrrafil [7]

Answer:

a = 81.5

b = 98.5

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

a = x-3

b = x+14

In supplementary angles , the formula are as follows,

a + b = 180

By putting the value, we get

x - 3 + x + 14 = 180

2x + 11 = 180

2x = 180 - 11

2x = 169

x = 169 ÷ 2

x = 84.5

So, a = 84.5 - 3

= 81.5

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5 0
3 years ago
Will give 50points Pleasee help urgent!
Lorico [155]

Answer:

a = 10; a = 2

Step-by-step explanation:

Step 1: Use the Pythagorean theorem to solve this equation

    1. Orignal eqaution: (a + 2)² + (a - 5)² = (a + 3)²

    2. Expand (a + 2)² + (a - 5)² which will give us 2a² - 6a + 29

    3. Expand (a + 3)² giving us a² + 6a + 9

    4. Simplified equation: 2a² - 6a + 29 = a² + 6a + 9

Step 2: Subtract 9 from both sides

    1. 2a² - 6a + 29 - 9 = a² + 6a + 9 - 9

    2. Simplify: 2a² - 6a + 20 = a² + 6a

Step 3: Subtract 6a from both sides

    1. 2a² - 6a + 20 - 6a = a² + 6a - 6a

    2. Simplify: 2a² -12a + 20 = a²

Step 4: Subtract a2 from both sides

    1. 2a² - 12a + 20 - a² = a² - a²

    2. Simplify: a² - 12a + 20 = 0

Step 5: Use the quadratic formula to solve for a

    1. Quadratic formula: a = -b += √b² - 4ac/2a

    2. Plug in the correct values: a = -(-12) += √(-12)² + 4(1)(20)/2(1)

    3. Simplify the numerator and denominator: 12 += 8/2

    4. Final equation: a = 12 - 8/2  or a = 12 + 8/2

    5. Hence, the answer is 10 or 2

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2 years ago
You start driving north for 27 miles, turn right, and drive East for another 36 miles. At the end of driving, what is your strai
denis-greek [22]

Answer:

45 miles

Step-by-step explanation:

Use pythagorean theorem:

27^{2} +36^{2} =45^{2}

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3 years ago
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