Question

Briefly explain the circumstances in which velocity and acceleration of a car are

a) parallel
b) anti parallel

Answer 1

a)

There is only one case where velocity and acceleration are parallel only when they are moving in the same direction.

b)

There are 3 cases where velocity and acceleration are antiparallel.

(i) When both are moving in different direction

It means :

• Either velocity towards +ve direction and acceleration towards -ve direction.
• Or, velocity towards -ve direction and acceleration towards +ve direction.
• It is applicable for both 2D (x-y plane) and 3D (x-y-z plane)

(ii) When the object is slowing down, where velocity and acceleration are in the opposite direction.

(iii) In case of motion reversal.

Step-by-step explanation:

Answer 2

Step-by-step explanation:

a) Velocity and acceleration of a car are parallel when the car is moving along a straight line in the same direction. For example, when a car is gaining speed as it moves forward in a straight line, both velocity and acceleration are directed in the same direction.

b) Velocity and acceleration of a car are anti-parallel when the car is moving along a straight line in the opposite direction. For example, when a car slows down while moving in a straight line, its acceleration is directed opposite to the direction of its velocity, or the other way around.