Answer and Explanation:
Limitation of Doppler shift :
The Doppler impact is relevant when the speeds of the wellspring of sound and spectator are considerably less than the speed of sound. The movement of both the spectator and the source is along a similar straight line.When movement is not in straight line or velocity is not much less than speed of light then we can not use Doppler shift
This is the limitation of Doppler shift to determine the object distance
Answer:

Explanation:
given,
Angular speed of the tire = 32 rad/s
Displacement of the wheel = 3.5 rev
Δ θ = 3.5 x 2 π
= 7 π rad
now,
Time interval of the car to rotate 7π rad
using equation



Time taken to rotate 3.5 times is equal to 0.687 s.
Answer:
Explanation:
Given
mass of drop 
height of fall 
ball leaves the foot with a speed of 18 m/s at an angle of 
Velocity of ball just before the collision with the floor



Impulse delivered in Y direction



Impulse in x direction





at an angle of 

Explanation:
Below is an attachment containing the solution.