Answer:
about 19.6° and 73.2°
Explanation:
The equation for ballistic motion in Cartesian coordinates for some launch angle α can be written ...
y = -4.9(x/s·sec(α))² +x·tan(α)
where s is the launch speed in meters per second.
We want y=2.44 for x=50, so this resolves to a quadratic equation in tan(α):
-13.6111·tan(α)² +50·tan(α) -16.0511 = 0
This has solutions ...
tan(α) = 0.355408 or 3.31806
The corresponding angles are ...
α = 19.5656° or 73.2282°
The elevation angle must lie between 19.6° and 73.2° for the ball to score a goal.
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I find it convenient to use a graphing calculator to find solutions for problems of this sort. In the attachment, we have used x as the angle in degrees, and written the function so that x-intercepts are the solutions.
Mechanical Energy transforms into Thermal due to the moving parts rubbing on eachother creating heat and friction.
Green because it abssorbs other colors which is why grass is green.
Answer:
Its internal energy decreases by 40 J.
Explanation:
The energy supplied to the metal block causes the temperature of the block to rise. Therefore,

Now, we will use this value of mC to find out the energy change of block:

It shows that when the temperature of the metal block falls by 10°C,
<u>Its internal energy decreases by 40 J.</u>