Answer:
(a). The average speed of the car is 12.75 m/s
(b). The distance is 43.35 m.
Explanation:
Given that,
Initial speed = -25.5 m/s
Final speed = 0
Time = 3.4 s
(a). We need to calculate the average speed
Using formula of average speed
Put the value into the formula
(b). We need to calculate the acceleration
Using equation of motion
We need to calculate the distance
Using equation of motion
Hence, (a). The average speed of the car is 12.75 m/s
(b). The distance is 43.35 m.
Answer:
The doppler effect equation is:
In the equation we have frequencies, but then we have the wavelengths of the lights, remember the relation:
v = f*λ
then:
f = v/λ
and v is the speed of light, then:
f = c/λ
where:
f' is the observed frequency, in this case, is equal to f = (3*10^17nm/s)/550 nm
f is the real frequency, in this case, is (3*10^17nm/s)/650 nm
vs is the speed of the source, in this case, the source is not moving, then vs = 0 m/s.
v is the speed of the wave, in this case, is equal to the speed of light, v = 3*10^8 m/s
v0 is your speed, this is what we want to find.
Replacing those quantities in the equation, we get:
(3*10^17nm/s)/550 = (3*10^8 m/s + v0)/(3*10^8 m/s)*(3*10^17nm/s)/650 nm
(650nm)/(550nm) = (3*10^8 m/s + v0)/(3*10^8 m/s)
1.182*(3*10^8 m/s) = (3*10^8 m/s + v0)
1.182*(3*10^8 m/s) - (3*10^8 m/s) = v0 = 54,600,000 m/s
So your speed was 54,600,000 m/s, which is a lot.