Question

Give an example of a trip you might take in your car for which the distance traveled as measured on your car's odometer is not equal to the displacement between your initial and final positions.

a) circular motion with a constant speed
b) linear motion with deceleration
c) linear motion with acceleration
d) linear motion with constant velocity

Answer 1

a) circular motion with a constant speed

Step-by-step explanation:

When object is in straight line motion then due to straight line path the car will travel have same displacement and distance for given time interval

So whenever an object is in linear motion then in that case the distance of the object is always equal to the displacement.

So the odometer of the car will always show displacement while we are moving in straight line path of the motion of object is linear motion.

now here while moving from initial position to final position the car odometer is not equal to the displacement so here we can say that the path of the car is not straight line path

So here correct answer will be

a) circular motion with a constant speed

Answer 2

Choices 'b', 'c', and 'd' all have the same displacement
and distance, because the motion is in a straight line.

Choice 'a' can never have a displacement greater than
the diameter of the circle, although the distance keeps
growing and growing as you keep driving around it.