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gizmo_the_mogwai [7]
3 years ago
12

The height of an object thrown upward with an initial velocity of 32 feet per second is given by the formula h = −16t2 + 32t, wh

ere t is the time in seconds. How long will it take the object to reach a height of 16 feet?
Mathematics
1 answer:
andre [41]3 years ago
6 0

Answer:

Therefore  after 1 second of lunched the object reach a height of 16 feet.

Step-by-step explanation:

When a particle is thrown vertically upward direction on that time only gravitation force is worked on it. In that case the acceleration of the particle is - g.Since gravitation force works downward direction and the displacement of the particle is upward direction that's why acceleration is negative.

When particle comes down the the acceleration of the particle is g.

Since the displacement and acceleration work on the particle in same direction.

The value of g is 9.8 m/s².

Given that, the height of the particle can measure from the equation

h=-16t^2+32t       Where t is time in second

To find out the time when the object reach a height 16 feet. We have put the value of h in the given equation.

Putting h=16 in the given equation

16= -16 t²+32

⇒16t²-32t+16=0

⇒16(t²-2t+1)=0

⇒t²-2t+1=0²         [ ∵16≠0]

⇒(t-1)²=0

⇒t-1=0

⇒t=1

Therefore  after 1 second of lunched the object reach a height of 16 feet.

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Two angles are complementary angles if the sum of their measure is 90 degrees. Angle A and angle B are complementary angles, and
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Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

We will be using simultaneous equations to solve this problem.

First we will establish the equations which we will be using as displayed below:

Equation No. 1 -

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Equation No. 1 -

A = 2B + 12

To begin with, let's make ( A ) the subject in the first equation as displayed below:

Equation No. 1 -

A + B = 90

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Next we will substitute the value of ( A ) from the first equation into the second equation and solve for ( B ) as displayed below:

Equation No. 2 -

A = 2B + 12

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Then we will substitute the value of ( B ) from the second equation into the first equation to solve for ( A ) as displayed below:

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ANSWER:

Therefore, the answer is:

A = 64°

B = 26°

Please mark as brainliest if you found this helpful! :)
Thank you <3
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3 years ago
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