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lidiya [134]
3 years ago
15

An egg is dropped from a height of 90 ft. If acceleration due to gravity is -16 ft/s2 and initial velocity is Ofts, approximatel

y how
long will it take for the egg to reach the ground?
Mathematics
1 answer:
Rom4ik [11]3 years ago
8 0

Step-by-step explanation:

Use the height equation:

y = ½ a t² + v t + h

where y is the height at time t,

a is the acceleration due to gravity,

v is the initial velocity,

and h is the initial height.

Here, a = -16, v = 0, and h = 90.

y = -8t² + 90

When the egg lands, y = 0.

0 = -8t² + 90

8t² = 90

t² = 45/4

t = 3.35

It takes approximately 3.35 seconds for the egg to land.

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Answer:

The equation is: <em>y</em> = 15·<em>x</em>

Step-by-step explanation:

It is provided that at the Speedy Bike Works, 15 bicycles are produced each hour.

Consider the table below.

                    Number of Hours:       1          3          6          10

Number of Bicycles Produced:      15        45        90       150

Compute the ratio of number of bicycles produced and number of hours for every data above as follows:

\text{1 hour}=\frac{15}{1}=15:1\\\\\text{3 hour}=\frac{45}{3}=\frac{15}{1}=15:1\\\\\text{6 hour}=\frac{90}{6}=\frac{15}{1}=15:1\\\\\text{10 hour}=\frac{150}{10}=\frac{15}{1}=15:1

The ratio of the number of bicycles produced and number of hours is same for every data value.

Thus, the relationship between the number of bicycles produced and number of hours is proportional.

The equation for the relationship is:

<em>y</em> = 15·<em>x</em>

<em>y</em> = number of bicycles produced

<em>x</em> = number of hours

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4 years ago
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