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kirill [66]
3 years ago
7

How can I calculate the maximum height of the ball? h=-16t^2+vt+h v is the initial velocity and I got 4.3cm h is the initial hei

ght and I got 14cm Range of the ball is 1.954m and the time in air is 2.1 When I solve the maximum height of the ball, it need to be ft/s.
Mathematics
1 answer:
Vitek1552 [10]3 years ago
7 0

Step-by-step explanation:

The path followed by the ball as a function of time is given by :

h=-16t^2+vt+h

Where

v is initial velocity and h is initial height,

v = 4.3 cm/s = 0.043 m/s and h = 14 cm = 0.14 m

The equation becomes,

h=-16t^2+0.043t+0.14 ....(1)

It is a quadratic equation,

t = 0.095 s

Put the value of t in equation (1).

h=-16(0.095)^2+0.043(0.095)+0.14\\\\h=-0.000315\ m

or

h = -0.00103 ft (negative sign shows height is in negative direction)

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Use the quadratic formula to complete the table. To verify your solutions, graph the equations.
Anna007 [38]

Answer:

1) Value of Discriminant: -32

Solution Value(s):

x = -2/3 + 2√2i/3

x = -2/3 - 2√2i/3

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Solution Value(s):

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Step-by-step explanation:

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If the Discriminant > 0 there are 2 real solutions.

If the Discriminant = 0 there is 1 real solution.

If the Discriminant < 0 there are 2 imaginary solutions.

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Plug this into the Quadratic Formula and solve:

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Value of Discriminant: -32

Obviously, this can be simplified more, but for now, all you need is what is under the square root. Since it is less than 0, there are going to be 2 imaginary solutions.

Continue simplifying to get to the Solution Values. You will end up here:

x = -2/3 ± 2√2i/3

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x = -2/3 + 2√2i/3

x = -2/3 - 2√2i/3

*Note: 2√2i is ALL over 3, not just the √2i*

You can convert this to decimal if you need (but I don’t suggest it):

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x = -0.66666 - 0.942809i

Equation 2:

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Plug this into the Quadratic Formula and solve:

x = -2 ± √-44 all over 6

Value of Discriminant: -44

Obviously, this can be simplified more, but for now, all you need is what is under the square root. Since it is less than 0, there are going to be 2 imaginary solutions again.

Continue simplifying to get to the Solution Values. You will end up here:

x = -1/3 ± √11i/3

Your two imaginary solutions are:

x = -1/3 + √11i/3

x = -1/3 - √11i/3

You can convert this to decimal if you need (but I don’t suggest it):

x = -0.33333 + 1.10554i

x = -0.33333 - 1.10554i

Hope this helps!

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