A physicist drives through a stop light. When he is pulled over, he tells the police officer that the Doppler shift made the red light of wavelength 680 nm appear green to him, with a wavelength of 515 nm. The police officer writes out a traffic citation for speeding. How fast was the physicist traveling, according to his own testimony?

The speed is

Explanation:

From the question we are told that

   The real  wavelength is  

   The observed  wavelength is

Generally the real wavelength of the stop light according to doppler effect is mathematically as

Here c is the speed of the light  

and  v is the speed of the physicist

So

=>    

=>    

=>  

=>  

=>  

=>  

=>  

substituting  for c

    =>    

    =>    

it is easily magnetized.

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft