Answer:
decreases, increases, minimum (zero)
Explanation:
Kinetic energy of a body is directly proportional to the square of velocity of the body and the potential energy is directly proportional to the height of the body at which it is placed.
The formula for the kinetic energy is
K = 1/2 m v^2
The formula for the potential energy is
U = m g h
As the body goes up its kinetic energy decreases as the velocity of the object decreases.
As the body goes up the potential energy increases as the height increases.
At the top most point, the velocity of teh object is zero, so the kinetic energy at the top is zero.
Let x = the angle of elevation for shooting the arrow.
Assume
g = 9.8 m/s²
No wind resistance
The vertical launch velocity is 25.1 sin(x) m/s
The horizontal velocity is 25.1 cos(x) m/s
The time of flight is
24/[25.1 cos(x)] s = 0.9562 sec(x) s
Therefore
0.5*[0.9562 sec(x)]*(9.8) = 25.1 sin(x)
4.6854 = 25.1* sin(x)cos(x)
sin(2x) = 0.3733
2x = sin⁻¹ 0.3733 = 21.92 deg
x = 10.96 deg
Answer: 11 degrees (nearest integer)
Answer:
f = 4.67 Hz
Explanation:
We can approximate the wave as a traveling wave, therefore the speed of the wave is constant
v = d / t
the total distance remember, in going to the wall and back is
d = 2 11.2 = 22.4 me
we substitute
v = 22.4 / 4.0
v = 5.6 m / s
now we can use the relationship between the speed of the wave, its wavelength and u frequency
v =λ f
f = v /λ
f = 5.6 / 1.2
f = 4.67 Hz