When we have two sound waves with frequencies f1 and f2 that interfere, the beat frequency is equal to the absolute value of the difference of the two frequencies, so in our problem:
#2 Distance (d) = _______37.5cm____________
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The motion of the ball is a composition of two motions:
- on the x (horizontal) axis, it is a uniform motion with initial velocity
- on the y (vertical) axis, it is a uniformly accelerated motion with acceleration
(a) to solve this part, we just analyze the motion on the vertical axis. The law of motion here is
By requiring y(t)=0, we find the time t at which the ball reaches the floor:
(b) for this part, we can analyze only the motion on the horizontal axis. To find how far the ball will land, we must calculate the distance covered on the x-axis, x(t), when the ball reaches the ground (so, after a time t=0.64 s):
- on the x (horizontal) axis, it is a uniform motion with initial velocity
- on the y (vertical) axis, it is a uniformly accelerated motion with acceleration
(a) to solve this part, we just analyze the motion on the vertical axis. The law of motion here is
By requiring y(t)=0, we find the time t at which the ball reaches the floor:
(b) for this part, we can analyze only the motion on the horizontal axis. To find how far the ball will land, we must calculate the distance covered on the x-axis, x(t), when the ball reaches the ground (so, after a time t=0.64 s):