Velocity Time Graph for a Particle Moving Along X Axis

To draw the velocity time graph of a particle moving along the x-axis, we need to differentiate the given position function with respect to time.

Step 1: Find the velocity function

The position function of the particle is given by s=5-3t+2t^2. Differentiating this function with respect to time t, we get the velocity function as:
v=ds/dt = d/dt(5-3t+2t^2) = -3+4t

Step 2: Plot the graph

The velocity time graph can be plotted by taking the velocity function on the y-axis and time t on the x-axis.

The velocity function v=-3+4t is a linear function with a slope of 4. This means that the velocity of the particle is increasing at a constant rate of 4 units per second.

At t=0, the particle has a velocity of -3 units per second. This corresponds to the point (0,-3) on the graph.

As time increases, the velocity of the particle increases at a constant rate of 4 units per second. This corresponds to a straight line with a positive slope.

Conclusion:

The velocity time graph for the particle moving along the x-axis is a straight line with a positive slope of 4. The particle starts with a negative velocity of -3 units per second and increases its velocity at a constant rate of 4 units per second.

V = -3+4t . hoga .. Y = mx- c se bn jayga..