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goldenfox
2 months ago
3

Emily throws a soccer ball out of her dorm window to Allison, who is waiting below to catch it. If Emily throws the ball at an a

ngle of 30º below the horizontal with a speed of 14m/s, how far from the base of the dorm should Allison stand to catch the ball? Assume the vertical distance between where Emily releases the ball and Allison catches it is 8.0m.
Physics
2 answers:
Yuliya22 [3.3K]2 months ago
8 0

Solution:

6.778 meters

Step-by-step:

Using the equation of motion: y = u t + ½ a t²

6 m = (initial velocity component) + (½ acceleration × time squared)

6 = 12 × sin 30° × t + ½ × 9.81 × t²

This leads to the quadratic equation: 4.905 t² + 6 t - 6 = 0

Solving, we find t = 0.6522 seconds.

Calculating horizontal distance:

x = (initial speed) × cos 30° × t

= 12 × cos 30° × 0.6522

= 6.778 meters

Sav [3.1K]2 months ago
7 0

Result:

d = 9.1 meters

Explanation:

The ball’s initial speed is given as

v_i = 14 m/s

Since it is thrown 30 degrees below the horizontal,

we use trigonometric components:

v_x = 14 cos 30

v_x = 12.12 m/s

v_y = 14 sin30

v_y = 7 m/s

For the vertical displacement: the ball falls 8.0 m

The acceleration in the vertical direction is due to gravity

Hence,

\Delta y = v_y t + \frac{1}{2}gt^2

8 = 7 t + \frac{1}{2}(9.81)t^2

t = 0.75 s

The horizontal distance covered during this time is

d = v t

d = 12.12 \times 0.75

d = 9.1 m

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The two sides of the DNA double helix are connected by pairs of bases (adenine, thymine, cytosine, and guanine). Because of the
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Explanation:

An image of the bond resulting from the search is attached.

Consider the force directed towards thymine as negative.

For the O-H-N combination:

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The negative value indicates that the force is attractive, as it is aimed towards thymi.

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