4.8-1 A transmitter transmits an AM signal with a carrier frequency of 1470 kHz. When a superheterodyne radio receiver (which has a poor selectivity in its RF-stage bandpass filter) is tuned to 1530 kHz, the signal is heard loud and clear. However, if this radio is cheap, its front-end bandpass filter is not very selective. Thus, the same signal is also heard (not as strongly) when tuned to another carrier frequency setting within the AM range of 535-1605 kHz. State, with reasons, at what frequency you will hear this station. The IF is 455 kHz.

In the middle of the night you are standing a horizontal distance of 14.0 m from the high fence that surrounds the estate of your rich uncle. the top of the fence is 5.00 m above the ground. you have taped an important message to a rock that you want to throw over the fence. the ground is level, and the width of the fence is small enough to be ignored. you throw the rock from a height of 1.60 m above the ground and at an angle of 54.0 degrees above the horizontal. part a part complete what minimum initial speed must the rock have as it leaves your hand to clear the top of the fence? express your answer with the appropriate units. part b for the initial velocity calculated in the previous part, what horizontal distance beyond the fence will the rock land on the ground?