Question

A particle has both velocity and acceleration vectors anti parallel of each other, the motion of the particle is
1. In straight line and constant velocity
2. In straight line and accelerating
3. In straight line and retarding
4. At rest.
DRAW A GRAPH AND EXPLAIN (ONE OPTION IS CORRECT)

Answer 1

Given:

A particle has both velocity and acceleration vectors anti parallel of each other.

To find:

Type of motion of body ?

Calculation:

• Velocity and Acceleration vector anti-parallel to one another means that acceleration is opposite in direction to velocity.

• This means the velocity will be decreasing and the object will continue to move in a straight line.

• This is because the acceleration will not change the direction of the particle.

OPTION 3) is correct ✔️

For the graph, first make the equation :

$\rm \: v = u + at$

• Since value of a is negative (let a = -k), we can say:

$\rm \implies \: v = u - kt$

$\rm \implies \: v = - kt + u$

So, slope is '-k' and intercept is 'u'.

Answer 2

Answer:

option 3 In straight line and retarding

magnitude is same but direction is different therefore they have opposite directions.