You should fly at an angle of
Explanation:
The motion of the ball is a free fall motion, so the vertical displacement of the ball (in negative directions) is given by
where
is the acceleration due to gravity
t is the time
The horizontal distance you have to cover to catch the ball is
The vertical and horizontal displacement form a right triangle, so that we can write
where is the direction of your motion. Substituting,
(1)
We also know that the horizontal position of the person at time t is
And so, for the time t at which the person catches the ball,
Substituting this expression into (1),
And using
we find:
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When a large tank is filled with water to a depth of 38 m. An opening is located 14 m above the bottom of the tank then the water would emerge from the opening at a velocity of 21.70 m/s
<h3>What is mechanical energy?</h3>
Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total potential energy stored energy in the system which is represented by total potential energy.
As total mechanical energy ias s the sum of all the kinetic as well potential energy stored in the system.
ME = KE + PE
The total kinetic energy
KE = 1/2*m*v²
Similarly, the total potential energy
PE = m*g*h
As given in the problem When a large tank is filled with water to a depth of 38 m. An opening is located 14 m above the bottom of the tank
height of the water above the opening
h= 38-14
h= 24 m
The potential energy of water above the opening is getting converted into the kinetic energy
m*g*h = 1/2*m*v²
v = √(2*g*h)
By substituting the respective values of the height and gravity
v = √(2*9.81*24)
v = 21.70 m/s
Thus, when water is poured into a sizable tank until it reaches a 38 m depth. If a hole were to be made at a height of 14 m above the tank's bottom, water would rush out of it at a speed of 21.70 m/s.
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Answer:
Explanation:
In a LC circuit The time constant τ is the time necessary for 60% of the total current (maximum current), pass through the inductor after a direct voltage source has been connected to it. The time constant can be calculated as follows:
Therefore, the time needed for the current to reach a fraction f = 0.6(60%) of its maximum value is: