Question

A Particle Is Moving In Straight Line Such That Its Displacement Is Related To Time As X=3-4T+5T² The Correct Velocity Time Graph

Answer 1

The velocity time graph is given below.

The velocity of the particle is - 4 + 10 t

Explanation:

We are given that:

X = (3 - 4 t + 5 t^2)

As we know that

d x / d t = V

Velocity = - 4 + 10 t

Time Velocity graph (m/s)

0 - 4

1 -  6

2 - 16

3 - 26

4 - 36

5 - 46

As we can see in the graph as time increase the velocity also increases. A straight line is obtained between velocity and time relation.

It shows that there is a direct relation between velocity and time.