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melomori [17]
3 years ago
7

A baseball player hits a ball at an angle of 52 degrees and at a height of 4.5 ft. if the ball's initial velocity after being hi

t is 152ft/s and if no one catches the ball when will it hit the ground?
Mathematics
1 answer:
Dafna1 [17]3 years ago
5 0

Answer:

t\approx 5.865\,s

Step-by-step explanation:

The motion equations that describe the ball are, respectively:

x = \left[\left(152\,\frac{ft}{s} \right)\cdot \cos 52^{\circ} \right] \cdot t

y = 4.5\,ft + \left[\left(152\,\frac{ft}{s} \right)\cdot \sin 52^{\circ} \right] \cdot t - \frac{1}{2}\cdot \left(32.174\,\frac{ft}{s^{2}} \right) \cdot t^{2}

The time required for the ball to hit the ground is computed from the second equation. That is to say:

4.5\,ft + \left[\left(152\,\frac{ft}{s} \right)\cdot \sin 52^{\circ} \right] \cdot t - \frac{1}{2}\cdot \left(32.174\,\frac{m}{s^{2}} \right) \cdot t^{2} = 0

Given that formula is a second-order polynomial, the roots of the equation are described below:

t_{1}\approx 5.865\,s and t_{2} \approx -0.048\,s

Just the first root offers a realistic solution. Then, t\approx 5.865\,s.

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Rudik [331]
The point P has coordinates (x,y) = (-2,6) so x = -2 and y = 6

Replace x and y with those values into the rule given
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4 0
3 years ago
Nine teammates go to the local sandwich shop. All nine
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Answer:

D)

Step-by-step explanation:

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3 years ago
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0 and yes

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Let a=6m where m is any integer since a is divisible by 6. (a+12)/3=(6m+12)/3=2m+4 which is also an integer. The remainder is 0.

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3 years ago
Please help me );
ASHA 777 [7]

Answer:

f(x)=x^2

h(x)=(x+5)^2

To find:

The graph of h(x) using the graph of f(x).

Solution:

We have,

f(x)=x^2

It a parent quadratic function. The graph of this function is an upward parabola with vertex at origin, i.e., (0,0).

Now,

h(x)=(x+5)^2

It can be written as

h(x)=f(x+5)           [\because f(x)=x^2]

It means, the graph of f(x) shifted 5 units left to get the graph of h(x)

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