A radar used to detect the presence of aircraft receives a pulse that has reflected off an object 5 ✕ 10−5 s after it was transmitted. What is the distance (in m) from the radar station to the reflecting object?

The distance from an object is required.

The object is 7500 m from the radar.

Time to transmit or receive a the signal is

where

t = Total time taken to transmit and receive =

c = Speed of radio signal =

Distance is given by

The object is 7500 m from the radar.

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7500 m

Explanation:

The radar emits an electromagnetic wave that travels towards the object and then it is reflected back to the radar.

We can call L the distance between the radar and the object; this means that the electromagnetic wave travels twice this distance, so

d = 2L

In a time of

Electromagnetic waves travel in a vacuum at the speed of light, which is equal to

Since the electromagnetic wave travels with constant speed, we can use the equation for uniform motion ,so:

(1)

where

, where L is the distance between the radar and the object

Re-arranging eq(1) and substituting, we find L:

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min