She is driving with a speed of 355.2 m/s
Explanation:
Given:
Frequency, f₁ = 894 Hz
Speed of sound, v₁ = 343 m/s
Frequency, f₂ = 926 Hz
Speed of the motorcycle, v₂ = ?
We know:
Velocity = Wavelength X frequency
Velocity is directly proportional to frequency
Thus,
[tex]\frac{v_1}{v_2} = \frac{f_1}{f_2}[/tex]
On substituting the value, we get
[tex]\frac{343}{v_2} = \frac{894}{926} \\\\v_2 = \frac{343 X 926}{894} \\\\v_2 = 355.2m/s[/tex]
Therefore, she is driving with a speed of 355.2 m/s